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Finding the Fourth Proportional to 9,642.31, 14,439.87 and 8,707.37

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Solution

The fourth proportional to 9,642.31, 14,439.87 and 8,707.37 is: 13,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.31 : 14,439.87 = 8,707.37 : x
  2. Step 2: Convert to fraction form
    9,642.31/14,439.87 = 8,707.37/x
  3. Step 3: Cross multiply
    9,642.31x = 14,439.87 × 8,707.37
  4. Step 4: Simplify right side
    9,642.31x = 125,733,218.64
  5. Step 5: Solve for x
    x = 125,733,218.64/9,642.31
  6. Step 6: Final answer
    x = 13,039.74

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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.