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Finding the Fourth Proportional to 10,503.84, 15,744.72 and 9,957

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Solution

The fourth proportional to 10,503.84, 15,744.72 and 9,957 is: 14,925.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.84 : 15,744.72 = 9,957 : x
  2. Step 2: Convert to fraction form
    10,503.84/15,744.72 = 9,957/x
  3. Step 3: Cross multiply
    10,503.84x = 15,744.72 × 9,957
  4. Step 4: Simplify right side
    10,503.84x = 156,770,177.04
  5. Step 5: Solve for x
    x = 156,770,177.04/10,503.84
  6. Step 6: Final answer
    x = 14,925.03

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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.