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Finding the Fourth Proportional to 9,852.52, 13,592.19 and 6,491.02

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Solution

The fourth proportional to 9,852.52, 13,592.19 and 6,491.02 is: 8,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.52 : 13,592.19 = 6,491.02 : x
  2. Step 2: Convert to fraction form
    9,852.52/13,592.19 = 6,491.02/x
  3. Step 3: Cross multiply
    9,852.52x = 13,592.19 × 6,491.02
  4. Step 4: Simplify right side
    9,852.52x = 88,227,177.13
  5. Step 5: Solve for x
    x = 88,227,177.13/9,852.52
  6. Step 6: Final answer
    x = 8,954.78

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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.