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Finding the Fourth Proportional to 9,932.16, 13,710.28 and 5,952.50

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Solution

The fourth proportional to 9,932.16, 13,710.28 and 5,952.50 is: 8,216.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.16 : 13,710.28 = 5,952.50 : x
  2. Step 2: Convert to fraction form
    9,932.16/13,710.28 = 5,952.50/x
  3. Step 3: Cross multiply
    9,932.16x = 13,710.28 × 5,952.50
  4. Step 4: Simplify right side
    9,932.16x = 81,610,441.70
  5. Step 5: Solve for x
    x = 81,610,441.70/9,932.16
  6. Step 6: Final answer
    x = 8,216.79

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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.