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Finding the Fourth Proportional to 9,156.71, 12,634.74 and 5,379.59

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Solution

The fourth proportional to 9,156.71, 12,634.74 and 5,379.59 is: 7,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.71 : 12,634.74 = 5,379.59 : x
  2. Step 2: Convert to fraction form
    9,156.71/12,634.74 = 5,379.59/x
  3. Step 3: Cross multiply
    9,156.71x = 12,634.74 × 5,379.59
  4. Step 4: Simplify right side
    9,156.71x = 67,969,657.78
  5. Step 5: Solve for x
    x = 67,969,657.78/9,156.71
  6. Step 6: Final answer
    x = 7,422.94

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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.