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Finding the Fourth Proportional to 9,280.13, 12,807.38 and 5,089.19

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Solution

The fourth proportional to 9,280.13, 12,807.38 and 5,089.19 is: 7,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.13 : 12,807.38 = 5,089.19 : x
  2. Step 2: Convert to fraction form
    9,280.13/12,807.38 = 5,089.19/x
  3. Step 3: Cross multiply
    9,280.13x = 12,807.38 × 5,089.19
  4. Step 4: Simplify right side
    9,280.13x = 65,179,138.91
  5. Step 5: Solve for x
    x = 65,179,138.91/9,280.13
  6. Step 6: Final answer
    x = 7,023.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.