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Finding the Fourth Proportional to 6,468,912.40, 9,703,368.60 and 3,949,488.40

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Solution

The fourth proportional to 6,468,912.40, 9,703,368.60 and 3,949,488.40 is: 5,924,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468,912.40 : 9,703,368.60 = 3,949,488.40 : x
  2. Step 2: Convert to fraction form
    6,468,912.40/9,703,368.60 = 3,949,488.40/x
  3. Step 3: Cross multiply
    6,468,912.40x = 9,703,368.60 × 3,949,488.40
  4. Step 4: Simplify right side
    6,468,912.40x = 38,323,341,726,624.23
  5. Step 5: Solve for x
    x = 38,323,341,726,624.23/6,468,912.40
  6. Step 6: Final answer
    x = 5,924,232.60

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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.