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Finding the Fourth Proportional to 9,304.42, 12,838.08 and 5,326.78

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Solution

The fourth proportional to 9,304.42, 12,838.08 and 5,326.78 is: 7,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.42 : 12,838.08 = 5,326.78 : x
  2. Step 2: Convert to fraction form
    9,304.42/12,838.08 = 5,326.78/x
  3. Step 3: Cross multiply
    9,304.42x = 12,838.08 × 5,326.78
  4. Step 4: Simplify right side
    9,304.42x = 68,385,627.78
  5. Step 5: Solve for x
    x = 68,385,627.78/9,304.42
  6. Step 6: Final answer
    x = 7,349.80

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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.