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Finding the Fourth Proportional to 9,298.69, 13,948.30 and 2,724.88

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Solution

The fourth proportional to 9,298.69, 13,948.30 and 2,724.88 is: 4,087.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.69 : 13,948.30 = 2,724.88 : x
  2. Step 2: Convert to fraction form
    9,298.69/13,948.30 = 2,724.88/x
  3. Step 3: Cross multiply
    9,298.69x = 13,948.30 × 2,724.88
  4. Step 4: Simplify right side
    9,298.69x = 38,007,443.70
  5. Step 5: Solve for x
    x = 38,007,443.70/9,298.69
  6. Step 6: Final answer
    x = 4,087.40

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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.