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Finding the Fourth Proportional to 9,954.68, 14,934.18 and 3,291.46

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Solution

The fourth proportional to 9,954.68, 14,934.18 and 3,291.46 is: 4,937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.68 : 14,934.18 = 3,291.46 : x
  2. Step 2: Convert to fraction form
    9,954.68/14,934.18 = 3,291.46/x
  3. Step 3: Cross multiply
    9,954.68x = 14,934.18 × 3,291.46
  4. Step 4: Simplify right side
    9,954.68x = 49,155,256.10
  5. Step 5: Solve for x
    x = 49,155,256.10/9,954.68
  6. Step 6: Final answer
    x = 4,937.90

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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.