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Finding the Fourth Proportional to 9,701.91, 13,387.68 and 5,925.69

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Solution

The fourth proportional to 9,701.91, 13,387.68 and 5,925.69 is: 8,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.91 : 13,387.68 = 5,925.69 : x
  2. Step 2: Convert to fraction form
    9,701.91/13,387.68 = 5,925.69/x
  3. Step 3: Cross multiply
    9,701.91x = 13,387.68 × 5,925.69
  4. Step 4: Simplify right side
    9,701.91x = 79,331,241.50
  5. Step 5: Solve for x
    x = 79,331,241.50/9,701.91
  6. Step 6: Final answer
    x = 8,176.87

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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.