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Finding the Fourth Proportional to 9,716.48, 14,572.52 and 3,793.52

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Solution

The fourth proportional to 9,716.48, 14,572.52 and 3,793.52 is: 5,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.48 : 14,572.52 = 3,793.52 : x
  2. Step 2: Convert to fraction form
    9,716.48/14,572.52 = 3,793.52/x
  3. Step 3: Cross multiply
    9,716.48x = 14,572.52 × 3,793.52
  4. Step 4: Simplify right side
    9,716.48x = 55,281,146.07
  5. Step 5: Solve for x
    x = 55,281,146.07/9,716.48
  6. Step 6: Final answer
    x = 5,689.42

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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.