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Finding the Fourth Proportional to 9,332.28, 12,878.02 and 5,140.44

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Solution

The fourth proportional to 9,332.28, 12,878.02 and 5,140.44 is: 7,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.28 : 12,878.02 = 5,140.44 : x
  2. Step 2: Convert to fraction form
    9,332.28/12,878.02 = 5,140.44/x
  3. Step 3: Cross multiply
    9,332.28x = 12,878.02 × 5,140.44
  4. Step 4: Simplify right side
    9,332.28x = 66,198,689.13
  5. Step 5: Solve for x
    x = 66,198,689.13/9,332.28
  6. Step 6: Final answer
    x = 7,093.52

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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.