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Finding the Fourth Proportional to 9,284,619.32, 12,813,695.40 and 5,210,254.52

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Solution

The fourth proportional to 9,284,619.32, 12,813,695.40 and 5,210,254.52 is: 7,190,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284,619.32 : 12,813,695.40 = 5,210,254.52 : x
  2. Step 2: Convert to fraction form
    9,284,619.32/12,813,695.40 = 5,210,254.52/x
  3. Step 3: Cross multiply
    9,284,619.32x = 12,813,695.40 × 5,210,254.52
  4. Step 4: Simplify right side
    9,284,619.32x = 66,762,614,375,753.20
  5. Step 5: Solve for x
    x = 66,762,614,375,753.20/9,284,619.32
  6. Step 6: Final answer
    x = 7,190,667.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.