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Finding the Fourth Proportional to 9,781.52, 14,663.60 and 5,091.68

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Solution

The fourth proportional to 9,781.52, 14,663.60 and 5,091.68 is: 7,633.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.52 : 14,663.60 = 5,091.68 : x
  2. Step 2: Convert to fraction form
    9,781.52/14,663.60 = 5,091.68/x
  3. Step 3: Cross multiply
    9,781.52x = 14,663.60 × 5,091.68
  4. Step 4: Simplify right side
    9,781.52x = 74,662,358.85
  5. Step 5: Solve for x
    x = 74,662,358.85/9,781.52
  6. Step 6: Final answer
    x = 7,633.00

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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.