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Finding the Fourth Proportional to 9,292.76, 13,934.82 and 4,909.04

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Solution

The fourth proportional to 9,292.76, 13,934.82 and 4,909.04 is: 7,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.76 : 13,934.82 = 4,909.04 : x
  2. Step 2: Convert to fraction form
    9,292.76/13,934.82 = 4,909.04/x
  3. Step 3: Cross multiply
    9,292.76x = 13,934.82 × 4,909.04
  4. Step 4: Simplify right side
    9,292.76x = 68,406,588.77
  5. Step 5: Solve for x
    x = 68,406,588.77/9,292.76
  6. Step 6: Final answer
    x = 7,361.28

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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.