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Finding the Fourth Proportional to 9,148.53, 12,618.00 and 7,874.58

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Solution

The fourth proportional to 9,148.53, 12,618.00 and 7,874.58 is: 10,860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.53 : 12,618.00 = 7,874.58 : x
  2. Step 2: Convert to fraction form
    9,148.53/12,618.00 = 7,874.58/x
  3. Step 3: Cross multiply
    9,148.53x = 12,618.00 × 7,874.58
  4. Step 4: Simplify right side
    9,148.53x = 99,361,432.65
  5. Step 5: Solve for x
    x = 99,361,432.65/9,148.53
  6. Step 6: Final answer
    x = 10,860.92

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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.