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Finding the Fourth Proportional to 9,187.68, 13,781.52 and 7,160.16

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Solution

The fourth proportional to 9,187.68, 13,781.52 and 7,160.16 is: 10,740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.68 : 13,781.52 = 7,160.16 : x
  2. Step 2: Convert to fraction form
    9,187.68/13,781.52 = 7,160.16/x
  3. Step 3: Cross multiply
    9,187.68x = 13,781.52 × 7,160.16
  4. Step 4: Simplify right side
    9,187.68x = 98,677,888.24
  5. Step 5: Solve for x
    x = 98,677,888.24/9,187.68
  6. Step 6: Final answer
    x = 10,740.24

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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.