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Finding the Fourth Proportional to 10,471.10, 14,442.17 and 6,928.16

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Solution

The fourth proportional to 10,471.10, 14,442.17 and 6,928.16 is: 9,555.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.10 : 14,442.17 = 6,928.16 : x
  2. Step 2: Convert to fraction form
    10,471.10/14,442.17 = 6,928.16/x
  3. Step 3: Cross multiply
    10,471.10x = 14,442.17 × 6,928.16
  4. Step 4: Simplify right side
    10,471.10x = 100,057,557.66
  5. Step 5: Solve for x
    x = 100,057,557.66/10,471.10
  6. Step 6: Final answer
    x = 9,555.60

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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.