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Finding the Fourth Proportional to 6,473,105.80, 9,709,658.70 and 4,205,624.20

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Solution

The fourth proportional to 6,473,105.80, 9,709,658.70 and 4,205,624.20 is: 6,308,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473,105.80 : 9,709,658.70 = 4,205,624.20 : x
  2. Step 2: Convert to fraction form
    6,473,105.80/9,709,658.70 = 4,205,624.20/x
  3. Step 3: Cross multiply
    6,473,105.80x = 9,709,658.70 × 4,205,624.20
  4. Step 4: Simplify right side
    6,473,105.80x = 40,835,175,602,460.54
  5. Step 5: Solve for x
    x = 40,835,175,602,460.54/6,473,105.80
  6. Step 6: Final answer
    x = 6,308,436.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.