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Finding the Fourth Proportional to 9,884.80, 14,814.60 and 4,034.80

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Solution

The fourth proportional to 9,884.80, 14,814.60 and 4,034.80 is: 6,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.80 : 14,814.60 = 4,034.80 : x
  2. Step 2: Convert to fraction form
    9,884.80/14,814.60 = 4,034.80/x
  3. Step 3: Cross multiply
    9,884.80x = 14,814.60 × 4,034.80
  4. Step 4: Simplify right side
    9,884.80x = 59,773,948.08
  5. Step 5: Solve for x
    x = 59,773,948.08/9,884.80
  6. Step 6: Final answer
    x = 6,047.06

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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.