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Finding the Fourth Proportional to 10,352.48, 15,520.51 and 9,647.17

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Solution

The fourth proportional to 10,352.48, 15,520.51 and 9,647.17 is: 14,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.48 : 15,520.51 = 9,647.17 : x
  2. Step 2: Convert to fraction form
    10,352.48/15,520.51 = 9,647.17/x
  3. Step 3: Cross multiply
    10,352.48x = 15,520.51 × 9,647.17
  4. Step 4: Simplify right side
    10,352.48x = 149,728,998.46
  5. Step 5: Solve for x
    x = 149,728,998.46/10,352.48
  6. Step 6: Final answer
    x = 14,463.10

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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.