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Finding the Fourth Proportional to 9,894, 14,842.42 and 3,652.95

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Solution

The fourth proportional to 9,894, 14,842.42 and 3,652.95 is: 5,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894 : 14,842.42 = 3,652.95 : x
  2. Step 2: Convert to fraction form
    9,894/14,842.42 = 3,652.95/x
  3. Step 3: Cross multiply
    9,894x = 14,842.42 × 3,652.95
  4. Step 4: Simplify right side
    9,894x = 54,218,609.01
  5. Step 5: Solve for x
    x = 54,218,609.01/9,894
  6. Step 6: Final answer
    x = 5,479.95

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Why These Related Problems?

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