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Finding the Fourth Proportional to 9,126.31, 12,582.90 and 7,616.05

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Solution

The fourth proportional to 9,126.31, 12,582.90 and 7,616.05 is: 10,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.31 : 12,582.90 = 7,616.05 : x
  2. Step 2: Convert to fraction form
    9,126.31/12,582.90 = 7,616.05/x
  3. Step 3: Cross multiply
    9,126.31x = 12,582.90 × 7,616.05
  4. Step 4: Simplify right side
    9,126.31x = 95,831,995.55
  5. Step 5: Solve for x
    x = 95,831,995.55/9,126.31
  6. Step 6: Final answer
    x = 10,500.63

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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.