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Finding the Fourth Proportional to 9,241.95, 13,864.95 and 5,289.15

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Solution

The fourth proportional to 9,241.95, 13,864.95 and 5,289.15 is: 7,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.95 : 13,864.95 = 5,289.15 : x
  2. Step 2: Convert to fraction form
    9,241.95/13,864.95 = 5,289.15/x
  3. Step 3: Cross multiply
    9,241.95x = 13,864.95 × 5,289.15
  4. Step 4: Simplify right side
    9,241.95x = 73,333,800.29
  5. Step 5: Solve for x
    x = 73,333,800.29/9,241.95
  6. Step 6: Final answer
    x = 7,934.88

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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.