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Finding the Fourth Proportional to 9,662,343.84, 14,500,034.56 and 3,982,442.40

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Solution

The fourth proportional to 9,662,343.84, 14,500,034.56 and 3,982,442.40 is: 5,976,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662,343.84 : 14,500,034.56 = 3,982,442.40 : x
  2. Step 2: Convert to fraction form
    9,662,343.84/14,500,034.56 = 3,982,442.40/x
  3. Step 3: Cross multiply
    9,662,343.84x = 14,500,034.56 × 3,982,442.40
  4. Step 4: Simplify right side
    9,662,343.84x = 57,745,552,433,209.34
  5. Step 5: Solve for x
    x = 57,745,552,433,209.34/9,662,343.84
  6. Step 6: Final answer
    x = 5,976,350.40

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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.