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Finding the Fourth Proportional to 9,315.76, 12,861.22 and 5,780.92

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Solution

The fourth proportional to 9,315.76, 12,861.22 and 5,780.92 is: 7,981.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.76 : 12,861.22 = 5,780.92 : x
  2. Step 2: Convert to fraction form
    9,315.76/12,861.22 = 5,780.92/x
  3. Step 3: Cross multiply
    9,315.76x = 12,861.22 × 5,780.92
  4. Step 4: Simplify right side
    9,315.76x = 74,349,619.62
  5. Step 5: Solve for x
    x = 74,349,619.62/9,315.76
  6. Step 6: Final answer
    x = 7,981.06

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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.