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Finding the Fourth Proportional to 6,397.12, 9,603.96 and 5,019.40

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Solution

The fourth proportional to 6,397.12, 9,603.96 and 5,019.40 is: 7,535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.12 : 9,603.96 = 5,019.40 : x
  2. Step 2: Convert to fraction form
    6,397.12/9,603.96 = 5,019.40/x
  3. Step 3: Cross multiply
    6,397.12x = 9,603.96 × 5,019.40
  4. Step 4: Simplify right side
    6,397.12x = 48,206,116.82
  5. Step 5: Solve for x
    x = 48,206,116.82/6,397.12
  6. Step 6: Final answer
    x = 7,535.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.