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Finding the Fourth Proportional to 9,077.43, 12,526.86 and 5,098.44

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Solution

The fourth proportional to 9,077.43, 12,526.86 and 5,098.44 is: 7,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.43 : 12,526.86 = 5,098.44 : x
  2. Step 2: Convert to fraction form
    9,077.43/12,526.86 = 5,098.44/x
  3. Step 3: Cross multiply
    9,077.43x = 12,526.86 × 5,098.44
  4. Step 4: Simplify right side
    9,077.43x = 63,867,444.10
  5. Step 5: Solve for x
    x = 63,867,444.10/9,077.43
  6. Step 6: Final answer
    x = 7,035.85

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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.