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Finding the Fourth Proportional to 9,171.84, 12,657.33 and 5,586.95

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Solution

The fourth proportional to 9,171.84, 12,657.33 and 5,586.95 is: 7,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.84 : 12,657.33 = 5,586.95 : x
  2. Step 2: Convert to fraction form
    9,171.84/12,657.33 = 5,586.95/x
  3. Step 3: Cross multiply
    9,171.84x = 12,657.33 × 5,586.95
  4. Step 4: Simplify right side
    9,171.84x = 70,715,901.49
  5. Step 5: Solve for x
    x = 70,715,901.49/9,171.84
  6. Step 6: Final answer
    x = 7,710.11

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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.