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Finding the Fourth Proportional to 9,497.28, 13,103.65 and 6,513.85

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Solution

The fourth proportional to 9,497.28, 13,103.65 and 6,513.85 is: 8,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.28 : 13,103.65 = 6,513.85 : x
  2. Step 2: Convert to fraction form
    9,497.28/13,103.65 = 6,513.85/x
  3. Step 3: Cross multiply
    9,497.28x = 13,103.65 × 6,513.85
  4. Step 4: Simplify right side
    9,497.28x = 85,355,210.55
  5. Step 5: Solve for x
    x = 85,355,210.55/9,497.28
  6. Step 6: Final answer
    x = 8,987.33

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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.