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Finding the Fourth Proportional to 9,402.84, 14,101.02 and 3,854.61

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Solution

The fourth proportional to 9,402.84, 14,101.02 and 3,854.61 is: 5,780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.84 : 14,101.02 = 3,854.61 : x
  2. Step 2: Convert to fraction form
    9,402.84/14,101.02 = 3,854.61/x
  3. Step 3: Cross multiply
    9,402.84x = 14,101.02 × 3,854.61
  4. Step 4: Simplify right side
    9,402.84x = 54,353,932.70
  5. Step 5: Solve for x
    x = 54,353,932.70/9,402.84
  6. Step 6: Final answer
    x = 5,780.59

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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.