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Finding the Fourth Proportional to 9,165.56, 12,648.49 and 5,186.60

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Solution

The fourth proportional to 9,165.56, 12,648.49 and 5,186.60 is: 7,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.56 : 12,648.49 = 5,186.60 : x
  2. Step 2: Convert to fraction form
    9,165.56/12,648.49 = 5,186.60/x
  3. Step 3: Cross multiply
    9,165.56x = 12,648.49 × 5,186.60
  4. Step 4: Simplify right side
    9,165.56x = 65,602,582.03
  5. Step 5: Solve for x
    x = 65,602,582.03/9,165.56
  6. Step 6: Final answer
    x = 7,157.51

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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.