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Finding the Fourth Proportional to 11,129.08, 15,323.16 and 9,447

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Solution

The fourth proportional to 11,129.08, 15,323.16 and 9,447 is: 13,007.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,129.08 : 15,323.16 = 9,447 : x
  2. Step 2: Convert to fraction form
    11,129.08/15,323.16 = 9,447/x
  3. Step 3: Cross multiply
    11,129.08x = 15,323.16 × 9,447
  4. Step 4: Simplify right side
    11,129.08x = 144,757,892.52
  5. Step 5: Solve for x
    x = 144,757,892.52/11,129.08
  6. Step 6: Final answer
    x = 13,007.18

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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.