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Finding the Fourth Proportional to 9,116.17, 13,674.54 and 2,876.24

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Solution

The fourth proportional to 9,116.17, 13,674.54 and 2,876.24 is: 4,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.17 : 13,674.54 = 2,876.24 : x
  2. Step 2: Convert to fraction form
    9,116.17/13,674.54 = 2,876.24/x
  3. Step 3: Cross multiply
    9,116.17x = 13,674.54 × 2,876.24
  4. Step 4: Simplify right side
    9,116.17x = 39,331,258.93
  5. Step 5: Solve for x
    x = 39,331,258.93/9,116.17
  6. Step 6: Final answer
    x = 4,314.45

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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.