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Finding the Fourth Proportional to 10,409.13, 15,620.60 and 9,717.14

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Solution

The fourth proportional to 10,409.13, 15,620.60 and 9,717.14 is: 14,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.13 : 15,620.60 = 9,717.14 : x
  2. Step 2: Convert to fraction form
    10,409.13/15,620.60 = 9,717.14/x
  3. Step 3: Cross multiply
    10,409.13x = 15,620.60 × 9,717.14
  4. Step 4: Simplify right side
    10,409.13x = 151,787,620.43
  5. Step 5: Solve for x
    x = 151,787,620.43/10,409.13
  6. Step 6: Final answer
    x = 14,582.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.