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Finding the Fourth Proportional to 9,202.90, 12,700.52 and 5,428.28

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Solution

The fourth proportional to 9,202.90, 12,700.52 and 5,428.28 is: 7,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.90 : 12,700.52 = 5,428.28 : x
  2. Step 2: Convert to fraction form
    9,202.90/12,700.52 = 5,428.28/x
  3. Step 3: Cross multiply
    9,202.90x = 12,700.52 × 5,428.28
  4. Step 4: Simplify right side
    9,202.90x = 68,941,978.71
  5. Step 5: Solve for x
    x = 68,941,978.71/9,202.90
  6. Step 6: Final answer
    x = 7,491.33

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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.