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Finding the Fourth Proportional to 9,332.42, 12,878.07 and 5,353.43

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Solution

The fourth proportional to 9,332.42, 12,878.07 and 5,353.43 is: 7,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.42 : 12,878.07 = 5,353.43 : x
  2. Step 2: Convert to fraction form
    9,332.42/12,878.07 = 5,353.43/x
  3. Step 3: Cross multiply
    9,332.42x = 12,878.07 × 5,353.43
  4. Step 4: Simplify right side
    9,332.42x = 68,941,846.28
  5. Step 5: Solve for x
    x = 68,941,846.28/9,332.42
  6. Step 6: Final answer
    x = 7,387.35

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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.