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Finding the Fourth Proportional to 9,116.76, 13,674.06 and 2,876.52

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Solution

The fourth proportional to 9,116.76, 13,674.06 and 2,876.52 is: 4,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.76 : 13,674.06 = 2,876.52 : x
  2. Step 2: Convert to fraction form
    9,116.76/13,674.06 = 2,876.52/x
  3. Step 3: Cross multiply
    9,116.76x = 13,674.06 × 2,876.52
  4. Step 4: Simplify right side
    9,116.76x = 39,333,707.07
  5. Step 5: Solve for x
    x = 39,333,707.07/9,116.76
  6. Step 6: Final answer
    x = 4,314.44

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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.