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Finding the Fourth Proportional to 9,532.53, 13,154.27 and 5,339.97

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Solution

The fourth proportional to 9,532.53, 13,154.27 and 5,339.97 is: 7,368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.53 : 13,154.27 = 5,339.97 : x
  2. Step 2: Convert to fraction form
    9,532.53/13,154.27 = 5,339.97/x
  3. Step 3: Cross multiply
    9,532.53x = 13,154.27 × 5,339.97
  4. Step 4: Simplify right side
    9,532.53x = 70,243,380.47
  5. Step 5: Solve for x
    x = 70,243,380.47/9,532.53
  6. Step 6: Final answer
    x = 7,368.81

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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.