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Finding the Fourth Proportional to 9,624.34, 13,281.70 and 5,645.52

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Solution

The fourth proportional to 9,624.34, 13,281.70 and 5,645.52 is: 7,790.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.34 : 13,281.70 = 5,645.52 : x
  2. Step 2: Convert to fraction form
    9,624.34/13,281.70 = 5,645.52/x
  3. Step 3: Cross multiply
    9,624.34x = 13,281.70 × 5,645.52
  4. Step 4: Simplify right side
    9,624.34x = 74,982,120.93
  5. Step 5: Solve for x
    x = 74,982,120.93/9,624.34
  6. Step 6: Final answer
    x = 7,790.88

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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.