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Finding the Fourth Proportional to 9,871.65, 14,830.47 and 9,340.65

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Solution

The fourth proportional to 9,871.65, 14,830.47 and 9,340.65 is: 14,032.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.65 : 14,830.47 = 9,340.65 : x
  2. Step 2: Convert to fraction form
    9,871.65/14,830.47 = 9,340.65/x
  3. Step 3: Cross multiply
    9,871.65x = 14,830.47 × 9,340.65
  4. Step 4: Simplify right side
    9,871.65x = 138,526,229.61
  5. Step 5: Solve for x
    x = 138,526,229.61/9,871.65
  6. Step 6: Final answer
    x = 14,032.73

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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.