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Finding the Fourth Proportional to 9,488.40, 13,082.52 and 7,243.44

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Solution

The fourth proportional to 9,488.40, 13,082.52 and 7,243.44 is: 9,987.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.40 : 13,082.52 = 7,243.44 : x
  2. Step 2: Convert to fraction form
    9,488.40/13,082.52 = 7,243.44/x
  3. Step 3: Cross multiply
    9,488.40x = 13,082.52 × 7,243.44
  4. Step 4: Simplify right side
    9,488.40x = 94,762,448.67
  5. Step 5: Solve for x
    x = 94,762,448.67/9,488.40
  6. Step 6: Final answer
    x = 9,987.19

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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.