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Finding the Fourth Proportional to 6,864,505.53, 9,471,537.63 and 3,962,214.78

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Solution

The fourth proportional to 6,864,505.53, 9,471,537.63 and 3,962,214.78 is: 5,467,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864,505.53 : 9,471,537.63 = 3,962,214.78 : x
  2. Step 2: Convert to fraction form
    6,864,505.53/9,471,537.63 = 3,962,214.78/x
  3. Step 3: Cross multiply
    6,864,505.53x = 9,471,537.63 × 3,962,214.78
  4. Step 4: Simplify right side
    6,864,505.53x = 37,528,266,386,912.17
  5. Step 5: Solve for x
    x = 37,528,266,386,912.17/6,864,505.53
  6. Step 6: Final answer
    x = 5,467,002.13

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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.