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Finding the Fourth Proportional to 9,986,837.20, 14,978,182.20 and 4,307,246.80

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Solution

The fourth proportional to 9,986,837.20, 14,978,182.20 and 4,307,246.80 is: 6,459,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986,837.20 : 14,978,182.20 = 4,307,246.80 : x
  2. Step 2: Convert to fraction form
    9,986,837.20/14,978,182.20 = 4,307,246.80/x
  3. Step 3: Cross multiply
    9,986,837.20x = 14,978,182.20 × 4,307,246.80
  4. Step 4: Simplify right side
    9,986,837.20x = 64,514,727,350,766.95
  5. Step 5: Solve for x
    x = 64,514,727,350,766.95/9,986,837.20
  6. Step 6: Final answer
    x = 6,459,975.87

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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.