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Finding the Fourth Proportional to 6,231.60, 9,337.80 and 5,252.40

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Solution

The fourth proportional to 6,231.60, 9,337.80 and 5,252.40 is: 7,870.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.60 : 9,337.80 = 5,252.40 : x
  2. Step 2: Convert to fraction form
    6,231.60/9,337.80 = 5,252.40/x
  3. Step 3: Cross multiply
    6,231.60x = 9,337.80 × 5,252.40
  4. Step 4: Simplify right side
    6,231.60x = 49,045,860.72
  5. Step 5: Solve for x
    x = 49,045,860.72/6,231.60
  6. Step 6: Final answer
    x = 7,870.51

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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.