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Finding the Fourth Proportional to 9,043.70, 13,586.33 and 6,417.68

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Solution

The fourth proportional to 9,043.70, 13,586.33 and 6,417.68 is: 9,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,043.70 : 13,586.33 = 6,417.68 : x
  2. Step 2: Convert to fraction form
    9,043.70/13,586.33 = 6,417.68/x
  3. Step 3: Cross multiply
    9,043.70x = 13,586.33 × 6,417.68
  4. Step 4: Simplify right side
    9,043.70x = 87,192,742.85
  5. Step 5: Solve for x
    x = 87,192,742.85/9,043.70
  6. Step 6: Final answer
    x = 9,641.27

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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.