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Finding the Fourth Proportional to 9,934.64, 14,902.68 and 3,009.68

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Solution

The fourth proportional to 9,934.64, 14,902.68 and 3,009.68 is: 4,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.64 : 14,902.68 = 3,009.68 : x
  2. Step 2: Convert to fraction form
    9,934.64/14,902.68 = 3,009.68/x
  3. Step 3: Cross multiply
    9,934.64x = 14,902.68 × 3,009.68
  4. Step 4: Simplify right side
    9,934.64x = 44,852,297.94
  5. Step 5: Solve for x
    x = 44,852,297.94/9,934.64
  6. Step 6: Final answer
    x = 4,514.74

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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.