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Finding the Fourth Proportional to 9,631.40, 14,449.80 and 4,087.40

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Solution

The fourth proportional to 9,631.40, 14,449.80 and 4,087.40 is: 6,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631.40 : 14,449.80 = 4,087.40 : x
  2. Step 2: Convert to fraction form
    9,631.40/14,449.80 = 4,087.40/x
  3. Step 3: Cross multiply
    9,631.40x = 14,449.80 × 4,087.40
  4. Step 4: Simplify right side
    9,631.40x = 59,062,112.52
  5. Step 5: Solve for x
    x = 59,062,112.52/9,631.40
  6. Step 6: Final answer
    x = 6,132.25

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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.