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Finding the Fourth Proportional to 9,210.81, 12,710.36 and 5,434.14

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Solution

The fourth proportional to 9,210.81, 12,710.36 and 5,434.14 is: 7,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.81 : 12,710.36 = 5,434.14 : x
  2. Step 2: Convert to fraction form
    9,210.81/12,710.36 = 5,434.14/x
  3. Step 3: Cross multiply
    9,210.81x = 12,710.36 × 5,434.14
  4. Step 4: Simplify right side
    9,210.81x = 69,069,848.52
  5. Step 5: Solve for x
    x = 69,069,848.52/9,210.81
  6. Step 6: Final answer
    x = 7,498.78

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