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Finding the Fourth Proportional to 9,114.78, 13,663.95 and 3,270.02

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Solution

The fourth proportional to 9,114.78, 13,663.95 and 3,270.02 is: 4,902.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.78 : 13,663.95 = 3,270.02 : x
  2. Step 2: Convert to fraction form
    9,114.78/13,663.95 = 3,270.02/x
  3. Step 3: Cross multiply
    9,114.78x = 13,663.95 × 3,270.02
  4. Step 4: Simplify right side
    9,114.78x = 44,681,321.46
  5. Step 5: Solve for x
    x = 44,681,321.46/9,114.78
  6. Step 6: Final answer
    x = 4,902.07

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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.