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Finding the Fourth Proportional to 10,462.01, 14,432.49 and 6,928.17

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Solution

The fourth proportional to 10,462.01, 14,432.49 and 6,928.17 is: 9,557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.01 : 14,432.49 = 6,928.17 : x
  2. Step 2: Convert to fraction form
    10,462.01/14,432.49 = 6,928.17/x
  3. Step 3: Cross multiply
    10,462.01x = 14,432.49 × 6,928.17
  4. Step 4: Simplify right side
    10,462.01x = 99,990,744.24
  5. Step 5: Solve for x
    x = 99,990,744.24/10,462.01
  6. Step 6: Final answer
    x = 9,557.51

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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.