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Finding the Fourth Proportional to 9,019.67, 13,549.01 and 7,635.78

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Solution

The fourth proportional to 9,019.67, 13,549.01 and 7,635.78 is: 11,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,019.67 : 13,549.01 = 7,635.78 : x
  2. Step 2: Convert to fraction form
    9,019.67/13,549.01 = 7,635.78/x
  3. Step 3: Cross multiply
    9,019.67x = 13,549.01 × 7,635.78
  4. Step 4: Simplify right side
    9,019.67x = 103,457,221.40
  5. Step 5: Solve for x
    x = 103,457,221.40/9,019.67
  6. Step 6: Final answer
    x = 11,470.18

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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.