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Finding the Fourth Proportional to 6,298.56, 9,434.88 and 5,987.52

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Solution

The fourth proportional to 6,298.56, 9,434.88 and 5,987.52 is: 8,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.56 : 9,434.88 = 5,987.52 : x
  2. Step 2: Convert to fraction form
    6,298.56/9,434.88 = 5,987.52/x
  3. Step 3: Cross multiply
    6,298.56x = 9,434.88 × 5,987.52
  4. Step 4: Simplify right side
    6,298.56x = 56,491,532.70
  5. Step 5: Solve for x
    x = 56,491,532.70/6,298.56
  6. Step 6: Final answer
    x = 8,968.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.