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Finding the Fourth Proportional to 9,645.34, 14,470.20 and 3,071.92

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Solution

The fourth proportional to 9,645.34, 14,470.20 and 3,071.92 is: 4,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.34 : 14,470.20 = 3,071.92 : x
  2. Step 2: Convert to fraction form
    9,645.34/14,470.20 = 3,071.92/x
  3. Step 3: Cross multiply
    9,645.34x = 14,470.20 × 3,071.92
  4. Step 4: Simplify right side
    9,645.34x = 44,451,296.78
  5. Step 5: Solve for x
    x = 44,451,296.78/9,645.34
  6. Step 6: Final answer
    x = 4,608.58

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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.