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Finding the Fourth Proportional to 5,613,123.74, 7,745,532.30 and 4,143,813.74

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Solution

The fourth proportional to 5,613,123.74, 7,745,532.30 and 4,143,813.74 is: 5,718,035.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613,123.74 : 7,745,532.30 = 4,143,813.74 : x
  2. Step 2: Convert to fraction form
    5,613,123.74/7,745,532.30 = 4,143,813.74/x
  3. Step 3: Cross multiply
    5,613,123.74x = 7,745,532.30 × 4,143,813.74
  4. Step 4: Simplify right side
    5,613,123.74x = 32,096,043,168,353.80
  5. Step 5: Solve for x
    x = 32,096,043,168,353.80/5,613,123.74
  6. Step 6: Final answer
    x = 5,718,035.92

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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.