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Finding the Fourth Proportional to 9,536.52, 14,304.78 and 4,338.75

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Solution

The fourth proportional to 9,536.52, 14,304.78 and 4,338.75 is: 6,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.52 : 14,304.78 = 4,338.75 : x
  2. Step 2: Convert to fraction form
    9,536.52/14,304.78 = 4,338.75/x
  3. Step 3: Cross multiply
    9,536.52x = 14,304.78 × 4,338.75
  4. Step 4: Simplify right side
    9,536.52x = 62,064,864.23
  5. Step 5: Solve for x
    x = 62,064,864.23/9,536.52
  6. Step 6: Final answer
    x = 6,508.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.