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Finding the Fourth Proportional to 9,332.80, 12,878.78 and 5,140.24

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Solution

The fourth proportional to 9,332.80, 12,878.78 and 5,140.24 is: 7,093.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.80 : 12,878.78 = 5,140.24 : x
  2. Step 2: Convert to fraction form
    9,332.80/12,878.78 = 5,140.24/x
  3. Step 3: Cross multiply
    9,332.80x = 12,878.78 × 5,140.24
  4. Step 4: Simplify right side
    9,332.80x = 66,200,020.11
  5. Step 5: Solve for x
    x = 66,200,020.11/9,332.80
  6. Step 6: Final answer
    x = 7,093.26

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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.