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Finding the Fourth Proportional to 9,165.24, 13,743.24 and 4,478.22

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Solution

The fourth proportional to 9,165.24, 13,743.24 and 4,478.22 is: 6,715.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.24 : 13,743.24 = 4,478.22 : x
  2. Step 2: Convert to fraction form
    9,165.24/13,743.24 = 4,478.22/x
  3. Step 3: Cross multiply
    9,165.24x = 13,743.24 × 4,478.22
  4. Step 4: Simplify right side
    9,165.24x = 61,545,331.20
  5. Step 5: Solve for x
    x = 61,545,331.20/9,165.24
  6. Step 6: Final answer
    x = 6,715.08

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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.