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Finding the Fourth Proportional to 9,570.55, 13,209.00 and 6,166.61

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Solution

The fourth proportional to 9,570.55, 13,209.00 and 6,166.61 is: 8,510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.55 : 13,209.00 = 6,166.61 : x
  2. Step 2: Convert to fraction form
    9,570.55/13,209.00 = 6,166.61/x
  3. Step 3: Cross multiply
    9,570.55x = 13,209.00 × 6,166.61
  4. Step 4: Simplify right side
    9,570.55x = 81,454,654.61
  5. Step 5: Solve for x
    x = 81,454,654.61/9,570.55
  6. Step 6: Final answer
    x = 8,510.97

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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.