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Finding the Fourth Proportional to 9,729.01, 14,613.32 and 8,584.93

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Solution

The fourth proportional to 9,729.01, 14,613.32 and 8,584.93 is: 12,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.01 : 14,613.32 = 8,584.93 : x
  2. Step 2: Convert to fraction form
    9,729.01/14,613.32 = 8,584.93/x
  3. Step 3: Cross multiply
    9,729.01x = 14,613.32 × 8,584.93
  4. Step 4: Simplify right side
    9,729.01x = 125,454,329.27
  5. Step 5: Solve for x
    x = 125,454,329.27/9,729.01
  6. Step 6: Final answer
    x = 12,894.87

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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.