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Finding the Fourth Proportional to 11,375.36, 15,684.28 and 9,489.68

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Solution

The fourth proportional to 11,375.36, 15,684.28 and 9,489.68 is: 13,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.36 : 15,684.28 = 9,489.68 : x
  2. Step 2: Convert to fraction form
    11,375.36/15,684.28 = 9,489.68/x
  3. Step 3: Cross multiply
    11,375.36x = 15,684.28 × 9,489.68
  4. Step 4: Simplify right side
    11,375.36x = 148,838,798.23
  5. Step 5: Solve for x
    x = 148,838,798.23/11,375.36
  6. Step 6: Final answer
    x = 13,084.32

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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.