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Finding the Fourth Proportional to 9,698.27, 13,385.72 and 6,160.79

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Solution

The fourth proportional to 9,698.27, 13,385.72 and 6,160.79 is: 8,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.27 : 13,385.72 = 6,160.79 : x
  2. Step 2: Convert to fraction form
    9,698.27/13,385.72 = 6,160.79/x
  3. Step 3: Cross multiply
    9,698.27x = 13,385.72 × 6,160.79
  4. Step 4: Simplify right side
    9,698.27x = 82,466,658.79
  5. Step 5: Solve for x
    x = 82,466,658.79/9,698.27
  6. Step 6: Final answer
    x = 8,503.24

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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.