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Finding the Fourth Proportional to 9,707.60, 14,562.01 and 2,591.70

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Solution

The fourth proportional to 9,707.60, 14,562.01 and 2,591.70 is: 3,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.60 : 14,562.01 = 2,591.70 : x
  2. Step 2: Convert to fraction form
    9,707.60/14,562.01 = 2,591.70/x
  3. Step 3: Cross multiply
    9,707.60x = 14,562.01 × 2,591.70
  4. Step 4: Simplify right side
    9,707.60x = 37,740,348.36
  5. Step 5: Solve for x
    x = 37,740,348.36/9,707.60
  6. Step 6: Final answer
    x = 3,887.71

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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.