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Finding the Fourth Proportional to 9,165.20, 12,646.80 and 5,186.48

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Solution

The fourth proportional to 9,165.20, 12,646.80 and 5,186.48 is: 7,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.20 : 12,646.80 = 5,186.48 : x
  2. Step 2: Convert to fraction form
    9,165.20/12,646.80 = 5,186.48/x
  3. Step 3: Cross multiply
    9,165.20x = 12,646.80 × 5,186.48
  4. Step 4: Simplify right side
    9,165.20x = 65,592,375.26
  5. Step 5: Solve for x
    x = 65,592,375.26/9,165.20
  6. Step 6: Final answer
    x = 7,156.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.