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Finding the Fourth Proportional to 9,701.10, 13,387.47 and 5,452.28

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Solution

The fourth proportional to 9,701.10, 13,387.47 and 5,452.28 is: 7,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.10 : 13,387.47 = 5,452.28 : x
  2. Step 2: Convert to fraction form
    9,701.10/13,387.47 = 5,452.28/x
  3. Step 3: Cross multiply
    9,701.10x = 13,387.47 × 5,452.28
  4. Step 4: Simplify right side
    9,701.10x = 72,992,167.99
  5. Step 5: Solve for x
    x = 72,992,167.99/9,701.10
  6. Step 6: Final answer
    x = 7,524.11

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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.