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Finding the Fourth Proportional to 9,552.60, 14,329.80 and 3,709.65

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Solution

The fourth proportional to 9,552.60, 14,329.80 and 3,709.65 is: 5,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.60 : 14,329.80 = 3,709.65 : x
  2. Step 2: Convert to fraction form
    9,552.60/14,329.80 = 3,709.65/x
  3. Step 3: Cross multiply
    9,552.60x = 14,329.80 × 3,709.65
  4. Step 4: Simplify right side
    9,552.60x = 53,158,542.57
  5. Step 5: Solve for x
    x = 53,158,542.57/9,552.60
  6. Step 6: Final answer
    x = 5,564.82

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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.