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Finding the Fourth Proportional to 9,147.78, 13,722.59 and 2,484.38

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Solution

The fourth proportional to 9,147.78, 13,722.59 and 2,484.38 is: 3,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.78 : 13,722.59 = 2,484.38 : x
  2. Step 2: Convert to fraction form
    9,147.78/13,722.59 = 2,484.38/x
  3. Step 3: Cross multiply
    9,147.78x = 13,722.59 × 2,484.38
  4. Step 4: Simplify right side
    9,147.78x = 34,092,047.11
  5. Step 5: Solve for x
    x = 34,092,047.11/9,147.78
  6. Step 6: Final answer
    x = 3,726.81

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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.