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Finding the Fourth Proportional to 9,663.75, 13,335.98 and 5,472

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Solution

The fourth proportional to 9,663.75, 13,335.98 and 5,472 is: 7,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.75 : 13,335.98 = 5,472 : x
  2. Step 2: Convert to fraction form
    9,663.75/13,335.98 = 5,472/x
  3. Step 3: Cross multiply
    9,663.75x = 13,335.98 × 5,472
  4. Step 4: Simplify right side
    9,663.75x = 72,974,455.20
  5. Step 5: Solve for x
    x = 72,974,455.20/9,663.75
  6. Step 6: Final answer
    x = 7,551.36

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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.