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Finding the Fourth Proportional to 27,302.41, 40,963.47 and 9,535.69

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Solution

The fourth proportional to 27,302.41, 40,963.47 and 9,535.69 is: 14,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,302.41 : 40,963.47 = 9,535.69 : x
  2. Step 2: Convert to fraction form
    27,302.41/40,963.47 = 9,535.69/x
  3. Step 3: Cross multiply
    27,302.41x = 40,963.47 × 9,535.69
  4. Step 4: Simplify right side
    27,302.41x = 390,614,848.84
  5. Step 5: Solve for x
    x = 390,614,848.84/27,302.41
  6. Step 6: Final answer
    x = 14,306.97

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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.