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Finding the Fourth Proportional to 9,281.24, 12,820.38 and 6,919.28

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Solution

The fourth proportional to 9,281.24, 12,820.38 and 6,919.28 is: 9,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.24 : 12,820.38 = 6,919.28 : x
  2. Step 2: Convert to fraction form
    9,281.24/12,820.38 = 6,919.28/x
  3. Step 3: Cross multiply
    9,281.24x = 12,820.38 × 6,919.28
  4. Step 4: Simplify right side
    9,281.24x = 88,707,798.93
  5. Step 5: Solve for x
    x = 88,707,798.93/9,281.24
  6. Step 6: Final answer
    x = 9,557.75

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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.