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Finding the Fourth Proportional to 9,957.88, 14,926.78 and 6,262.75

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Solution

The fourth proportional to 9,957.88, 14,926.78 and 6,262.75 is: 9,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.88 : 14,926.78 = 6,262.75 : x
  2. Step 2: Convert to fraction form
    9,957.88/14,926.78 = 6,262.75/x
  3. Step 3: Cross multiply
    9,957.88x = 14,926.78 × 6,262.75
  4. Step 4: Simplify right side
    9,957.88x = 93,482,691.45
  5. Step 5: Solve for x
    x = 93,482,691.45/9,957.88
  6. Step 6: Final answer
    x = 9,387.81

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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.