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Finding the Fourth Proportional to 6,517,710.30, 9,785,896.65 and 3,683,358.30

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Solution

The fourth proportional to 6,517,710.30, 9,785,896.65 and 3,683,358.30 is: 5,530,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517,710.30 : 9,785,896.65 = 3,683,358.30 : x
  2. Step 2: Convert to fraction form
    6,517,710.30/9,785,896.65 = 3,683,358.30/x
  3. Step 3: Cross multiply
    6,517,710.30x = 9,785,896.65 × 3,683,358.30
  4. Step 4: Simplify right side
    6,517,710.30x = 36,044,963,648,719.70
  5. Step 5: Solve for x
    x = 36,044,963,648,719.70/6,517,710.30
  6. Step 6: Final answer
    x = 5,530,310.80

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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.