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Finding the Fourth Proportional to 6,472.01, 9,693.78 and 5,348.69

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Solution

The fourth proportional to 6,472.01, 9,693.78 and 5,348.69 is: 8,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.01 : 9,693.78 = 5,348.69 : x
  2. Step 2: Convert to fraction form
    6,472.01/9,693.78 = 5,348.69/x
  3. Step 3: Cross multiply
    6,472.01x = 9,693.78 × 5,348.69
  4. Step 4: Simplify right side
    6,472.01x = 51,849,026.76
  5. Step 5: Solve for x
    x = 51,849,026.76/6,472.01
  6. Step 6: Final answer
    x = 8,011.28

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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.