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Finding the Fourth Proportional to 9,071.77, 12,515.82 and 5,929.78

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Solution

The fourth proportional to 9,071.77, 12,515.82 and 5,929.78 is: 8,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.77 : 12,515.82 = 5,929.78 : x
  2. Step 2: Convert to fraction form
    9,071.77/12,515.82 = 5,929.78/x
  3. Step 3: Cross multiply
    9,071.77x = 12,515.82 × 5,929.78
  4. Step 4: Simplify right side
    9,071.77x = 74,216,059.12
  5. Step 5: Solve for x
    x = 74,216,059.12/9,071.77
  6. Step 6: Final answer
    x = 8,180.99

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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.