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Finding the Fourth Proportional to 9,151.47, 13,720.56 and 6,182.49

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Solution

The fourth proportional to 9,151.47, 13,720.56 and 6,182.49 is: 9,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.47 : 13,720.56 = 6,182.49 : x
  2. Step 2: Convert to fraction form
    9,151.47/13,720.56 = 6,182.49/x
  3. Step 3: Cross multiply
    9,151.47x = 13,720.56 × 6,182.49
  4. Step 4: Simplify right side
    9,151.47x = 84,827,224.99
  5. Step 5: Solve for x
    x = 84,827,224.99/9,151.47
  6. Step 6: Final answer
    x = 9,269.25

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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.