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Finding the Fourth Proportional to 9,582.53, 13,223.87 and 5,390.78

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Solution

The fourth proportional to 9,582.53, 13,223.87 and 5,390.78 is: 7,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.53 : 13,223.87 = 5,390.78 : x
  2. Step 2: Convert to fraction form
    9,582.53/13,223.87 = 5,390.78/x
  3. Step 3: Cross multiply
    9,582.53x = 13,223.87 × 5,390.78
  4. Step 4: Simplify right side
    9,582.53x = 71,286,921.28
  5. Step 5: Solve for x
    x = 71,286,921.28/9,582.53
  6. Step 6: Final answer
    x = 7,439.26

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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.