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Finding the Fourth Proportional to 9,708.65, 14,562.98 and 4,158.41

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Solution

The fourth proportional to 9,708.65, 14,562.98 and 4,158.41 is: 6,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.65 : 14,562.98 = 4,158.41 : x
  2. Step 2: Convert to fraction form
    9,708.65/14,562.98 = 4,158.41/x
  3. Step 3: Cross multiply
    9,708.65x = 14,562.98 × 4,158.41
  4. Step 4: Simplify right side
    9,708.65x = 60,558,841.66
  5. Step 5: Solve for x
    x = 60,558,841.66/9,708.65
  6. Step 6: Final answer
    x = 6,237.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.