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Finding the Fourth Proportional to 9,663.84, 13,337.52 and 6,127.40

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Solution

The fourth proportional to 9,663.84, 13,337.52 and 6,127.40 is: 8,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.84 : 13,337.52 = 6,127.40 : x
  2. Step 2: Convert to fraction form
    9,663.84/13,337.52 = 6,127.40/x
  3. Step 3: Cross multiply
    9,663.84x = 13,337.52 × 6,127.40
  4. Step 4: Simplify right side
    9,663.84x = 81,724,320.05
  5. Step 5: Solve for x
    x = 81,724,320.05/9,663.84
  6. Step 6: Final answer
    x = 8,456.71

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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.