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Finding the Fourth Proportional to 9,858.50, 14,780.46 and 5,962.04

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Solution

The fourth proportional to 9,858.50, 14,780.46 and 5,962.04 is: 8,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.50 : 14,780.46 = 5,962.04 : x
  2. Step 2: Convert to fraction form
    9,858.50/14,780.46 = 5,962.04/x
  3. Step 3: Cross multiply
    9,858.50x = 14,780.46 × 5,962.04
  4. Step 4: Simplify right side
    9,858.50x = 88,121,693.74
  5. Step 5: Solve for x
    x = 88,121,693.74/9,858.50
  6. Step 6: Final answer
    x = 8,938.65

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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.