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Finding the Fourth Proportional to 9,765.34, 14,624.42 and 5,592.69

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Solution

The fourth proportional to 9,765.34, 14,624.42 and 5,592.69 is: 8,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.34 : 14,624.42 = 5,592.69 : x
  2. Step 2: Convert to fraction form
    9,765.34/14,624.42 = 5,592.69/x
  3. Step 3: Cross multiply
    9,765.34x = 14,624.42 × 5,592.69
  4. Step 4: Simplify right side
    9,765.34x = 81,789,819.53
  5. Step 5: Solve for x
    x = 81,789,819.53/9,765.34
  6. Step 6: Final answer
    x = 8,375.52

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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.