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Finding the Fourth Proportional to 9,107.40, 12,569.40 and 5,129.28

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Solution

The fourth proportional to 9,107.40, 12,569.40 and 5,129.28 is: 7,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.40 : 12,569.40 = 5,129.28 : x
  2. Step 2: Convert to fraction form
    9,107.40/12,569.40 = 5,129.28/x
  3. Step 3: Cross multiply
    9,107.40x = 12,569.40 × 5,129.28
  4. Step 4: Simplify right side
    9,107.40x = 64,471,972.03
  5. Step 5: Solve for x
    x = 64,471,972.03/9,107.40
  6. Step 6: Final answer
    x = 7,079.08

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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.