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Finding the Fourth Proportional to 9,165.53, 12,647.80 and 5,186.54

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Solution

The fourth proportional to 9,165.53, 12,647.80 and 5,186.54 is: 7,157.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.53 : 12,647.80 = 5,186.54 : x
  2. Step 2: Convert to fraction form
    9,165.53/12,647.80 = 5,186.54/x
  3. Step 3: Cross multiply
    9,165.53x = 12,647.80 × 5,186.54
  4. Step 4: Simplify right side
    9,165.53x = 65,598,320.61
  5. Step 5: Solve for x
    x = 65,598,320.61/9,165.53
  6. Step 6: Final answer
    x = 7,157.07

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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.