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Finding the Fourth Proportional to 6,585.38, 9,869.45 and 5,750.34

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Solution

The fourth proportional to 6,585.38, 9,869.45 and 5,750.34 is: 8,617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.38 : 9,869.45 = 5,750.34 : x
  2. Step 2: Convert to fraction form
    6,585.38/9,869.45 = 5,750.34/x
  3. Step 3: Cross multiply
    6,585.38x = 9,869.45 × 5,750.34
  4. Step 4: Simplify right side
    6,585.38x = 56,752,648.91
  5. Step 5: Solve for x
    x = 56,752,648.91/6,585.38
  6. Step 6: Final answer
    x = 8,617.98

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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.