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Finding the Fourth Proportional to 9,488.55, 13,091.76 and 6,306.47

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Solution

The fourth proportional to 9,488.55, 13,091.76 and 6,306.47 is: 8,701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.55 : 13,091.76 = 6,306.47 : x
  2. Step 2: Convert to fraction form
    9,488.55/13,091.76 = 6,306.47/x
  3. Step 3: Cross multiply
    9,488.55x = 13,091.76 × 6,306.47
  4. Step 4: Simplify right side
    9,488.55x = 82,562,726.23
  5. Step 5: Solve for x
    x = 82,562,726.23/9,488.55
  6. Step 6: Final answer
    x = 8,701.30

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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.