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Finding the Fourth Proportional to 10,420.32, 15,616.88 and 9,100.94

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Solution

The fourth proportional to 10,420.32, 15,616.88 and 9,100.94 is: 13,639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.32 : 15,616.88 = 9,100.94 : x
  2. Step 2: Convert to fraction form
    10,420.32/15,616.88 = 9,100.94/x
  3. Step 3: Cross multiply
    10,420.32x = 15,616.88 × 9,100.94
  4. Step 4: Simplify right side
    10,420.32x = 142,128,287.87
  5. Step 5: Solve for x
    x = 142,128,287.87/10,420.32
  6. Step 6: Final answer
    x = 13,639.53

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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.