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Finding the Fourth Proportional to 9,149.65, 13,746.36 and 5,869.15

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Solution

The fourth proportional to 9,149.65, 13,746.36 and 5,869.15 is: 8,817.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.65 : 13,746.36 = 5,869.15 : x
  2. Step 2: Convert to fraction form
    9,149.65/13,746.36 = 5,869.15/x
  3. Step 3: Cross multiply
    9,149.65x = 13,746.36 × 5,869.15
  4. Step 4: Simplify right side
    9,149.65x = 80,679,448.79
  5. Step 5: Solve for x
    x = 80,679,448.79/9,149.65
  6. Step 6: Final answer
    x = 8,817.76

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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.