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Finding the Fourth Proportional to 9,603.24, 13,248.90 and 6,454.44

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Solution

The fourth proportional to 9,603.24, 13,248.90 and 6,454.44 is: 8,904.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.24 : 13,248.90 = 6,454.44 : x
  2. Step 2: Convert to fraction form
    9,603.24/13,248.90 = 6,454.44/x
  3. Step 3: Cross multiply
    9,603.24x = 13,248.90 × 6,454.44
  4. Step 4: Simplify right side
    9,603.24x = 85,514,230.12
  5. Step 5: Solve for x
    x = 85,514,230.12/9,603.24
  6. Step 6: Final answer
    x = 8,904.73

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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.