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Finding the Fourth Proportional to 9,681.90, 14,493.60 and 8,757.87

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Solution

The fourth proportional to 9,681.90, 14,493.60 and 8,757.87 is: 13,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.90 : 14,493.60 = 8,757.87 : x
  2. Step 2: Convert to fraction form
    9,681.90/14,493.60 = 8,757.87/x
  3. Step 3: Cross multiply
    9,681.90x = 14,493.60 × 8,757.87
  4. Step 4: Simplify right side
    9,681.90x = 126,933,064.63
  5. Step 5: Solve for x
    x = 126,933,064.63/9,681.90
  6. Step 6: Final answer
    x = 13,110.35

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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.