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Finding the Fourth Proportional to 9,861.17, 14,792.18 and 2,465.66

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Solution

The fourth proportional to 9,861.17, 14,792.18 and 2,465.66 is: 3,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.17 : 14,792.18 = 2,465.66 : x
  2. Step 2: Convert to fraction form
    9,861.17/14,792.18 = 2,465.66/x
  3. Step 3: Cross multiply
    9,861.17x = 14,792.18 × 2,465.66
  4. Step 4: Simplify right side
    9,861.17x = 36,472,400.25
  5. Step 5: Solve for x
    x = 36,472,400.25/9,861.17
  6. Step 6: Final answer
    x = 3,698.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.