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Finding the Fourth Proportional to 9,064.76, 12,509.38 and 5,290.52

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Solution

The fourth proportional to 9,064.76, 12,509.38 and 5,290.52 is: 7,300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.76 : 12,509.38 = 5,290.52 : x
  2. Step 2: Convert to fraction form
    9,064.76/12,509.38 = 5,290.52/x
  3. Step 3: Cross multiply
    9,064.76x = 12,509.38 × 5,290.52
  4. Step 4: Simplify right side
    9,064.76x = 66,181,125.08
  5. Step 5: Solve for x
    x = 66,181,125.08/9,064.76
  6. Step 6: Final answer
    x = 7,300.92

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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.