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Finding the Fourth Proportional to 9,832.60, 14,748.54 and 6,092.92

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Solution

The fourth proportional to 9,832.60, 14,748.54 and 6,092.92 is: 9,139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.60 : 14,748.54 = 6,092.92 : x
  2. Step 2: Convert to fraction form
    9,832.60/14,748.54 = 6,092.92/x
  3. Step 3: Cross multiply
    9,832.60x = 14,748.54 × 6,092.92
  4. Step 4: Simplify right side
    9,832.60x = 89,861,674.34
  5. Step 5: Solve for x
    x = 89,861,674.34/9,832.60
  6. Step 6: Final answer
    x = 9,139.16

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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.