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Finding the Fourth Proportional to 9,013.76, 13,522.65 and 2,774.33

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Solution

The fourth proportional to 9,013.76, 13,522.65 and 2,774.33 is: 4,162.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.76 : 13,522.65 = 2,774.33 : x
  2. Step 2: Convert to fraction form
    9,013.76/13,522.65 = 2,774.33/x
  3. Step 3: Cross multiply
    9,013.76x = 13,522.65 × 2,774.33
  4. Step 4: Simplify right side
    9,013.76x = 37,516,266.27
  5. Step 5: Solve for x
    x = 37,516,266.27/9,013.76
  6. Step 6: Final answer
    x = 4,162.11

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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.