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Finding the Fourth Proportional to 10,445.08, 14,416.92 and 6,463.93

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Solution

The fourth proportional to 10,445.08, 14,416.92 and 6,463.93 is: 8,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445.08 : 14,416.92 = 6,463.93 : x
  2. Step 2: Convert to fraction form
    10,445.08/14,416.92 = 6,463.93/x
  3. Step 3: Cross multiply
    10,445.08x = 14,416.92 × 6,463.93
  4. Step 4: Simplify right side
    10,445.08x = 93,189,961.70
  5. Step 5: Solve for x
    x = 93,189,961.70/10,445.08
  6. Step 6: Final answer
    x = 8,921.90

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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.