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Finding the Fourth Proportional to 9,787,406.42, 14,681,257.28 and 3,397,861.74

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Solution

The fourth proportional to 9,787,406.42, 14,681,257.28 and 3,397,861.74 is: 5,096,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787,406.42 : 14,681,257.28 = 3,397,861.74 : x
  2. Step 2: Convert to fraction form
    9,787,406.42/14,681,257.28 = 3,397,861.74/x
  3. Step 3: Cross multiply
    9,787,406.42x = 14,681,257.28 × 3,397,861.74
  4. Step 4: Simplify right side
    9,787,406.42x = 49,884,882,406,808.47
  5. Step 5: Solve for x
    x = 49,884,882,406,808.47/9,787,406.42
  6. Step 6: Final answer
    x = 5,096,843.87

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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.