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Finding the Fourth Proportional to 9,429.84, 13,013.52 and 5,452.20

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Solution

The fourth proportional to 9,429.84, 13,013.52 and 5,452.20 is: 7,524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.84 : 13,013.52 = 5,452.20 : x
  2. Step 2: Convert to fraction form
    9,429.84/13,013.52 = 5,452.20/x
  3. Step 3: Cross multiply
    9,429.84x = 13,013.52 × 5,452.20
  4. Step 4: Simplify right side
    9,429.84x = 70,952,313.74
  5. Step 5: Solve for x
    x = 70,952,313.74/9,429.84
  6. Step 6: Final answer
    x = 7,524.23

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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.