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Finding the Fourth Proportional to 9,165.42, 12,648.63 and 5,077.31

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Solution

The fourth proportional to 9,165.42, 12,648.63 and 5,077.31 is: 7,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.42 : 12,648.63 = 5,077.31 : x
  2. Step 2: Convert to fraction form
    9,165.42/12,648.63 = 5,077.31/x
  3. Step 3: Cross multiply
    9,165.42x = 12,648.63 × 5,077.31
  4. Step 4: Simplify right side
    9,165.42x = 64,220,952.34
  5. Step 5: Solve for x
    x = 64,220,952.34/9,165.42
  6. Step 6: Final answer
    x = 7,006.88

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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.