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Finding the Fourth Proportional to 9,909.42, 13,689.87 and 6,514.53

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Solution

The fourth proportional to 9,909.42, 13,689.87 and 6,514.53 is: 8,999.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.42 : 13,689.87 = 6,514.53 : x
  2. Step 2: Convert to fraction form
    9,909.42/13,689.87 = 6,514.53/x
  3. Step 3: Cross multiply
    9,909.42x = 13,689.87 × 6,514.53
  4. Step 4: Simplify right side
    9,909.42x = 89,183,068.81
  5. Step 5: Solve for x
    x = 89,183,068.81/9,909.42
  6. Step 6: Final answer
    x = 8,999.83

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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.