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Finding the Fourth Proportional to 7,117,447.82, 9,821,688.63 and 4,217,105.66

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Solution

The fourth proportional to 7,117,447.82, 9,821,688.63 and 4,217,105.66 is: 5,819,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117,447.82 : 9,821,688.63 = 4,217,105.66 : x
  2. Step 2: Convert to fraction form
    7,117,447.82/9,821,688.63 = 4,217,105.66/x
  3. Step 3: Cross multiply
    7,117,447.82x = 9,821,688.63 × 4,217,105.66
  4. Step 4: Simplify right side
    7,117,447.82x = 41,419,098,712,330.65
  5. Step 5: Solve for x
    x = 41,419,098,712,330.65/7,117,447.82
  6. Step 6: Final answer
    x = 5,819,375.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.