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Finding the Fourth Proportional to 9,280.82, 12,807.42 and 5,031.86

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Solution

The fourth proportional to 9,280.82, 12,807.42 and 5,031.86 is: 6,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.82 : 12,807.42 = 5,031.86 : x
  2. Step 2: Convert to fraction form
    9,280.82/12,807.42 = 5,031.86/x
  3. Step 3: Cross multiply
    9,280.82x = 12,807.42 × 5,031.86
  4. Step 4: Simplify right side
    9,280.82x = 64,445,144.40
  5. Step 5: Solve for x
    x = 64,445,144.40/9,280.82
  6. Step 6: Final answer
    x = 6,943.91

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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.