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Finding the Fourth Proportional to 9,116.53, 13,680.56 and 5,228.53

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Solution

The fourth proportional to 9,116.53, 13,680.56 and 5,228.53 is: 7,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.53 : 13,680.56 = 5,228.53 : x
  2. Step 2: Convert to fraction form
    9,116.53/13,680.56 = 5,228.53/x
  3. Step 3: Cross multiply
    9,116.53x = 13,680.56 × 5,228.53
  4. Step 4: Simplify right side
    9,116.53x = 71,529,218.38
  5. Step 5: Solve for x
    x = 71,529,218.38/9,116.53
  6. Step 6: Final answer
    x = 7,846.10

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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.