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Finding the Fourth Proportional to 9,315.66, 12,861.51 and 5,782.62

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Solution

The fourth proportional to 9,315.66, 12,861.51 and 5,782.62 is: 7,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.66 : 12,861.51 = 5,782.62 : x
  2. Step 2: Convert to fraction form
    9,315.66/12,861.51 = 5,782.62/x
  3. Step 3: Cross multiply
    9,315.66x = 12,861.51 × 5,782.62
  4. Step 4: Simplify right side
    9,315.66x = 74,373,224.96
  5. Step 5: Solve for x
    x = 74,373,224.96/9,315.66
  6. Step 6: Final answer
    x = 7,983.68

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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.