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Finding the Fourth Proportional to 9,261.49, 12,780.88 and 5,012.56

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Solution

The fourth proportional to 9,261.49, 12,780.88 and 5,012.56 is: 6,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.49 : 12,780.88 = 5,012.56 : x
  2. Step 2: Convert to fraction form
    9,261.49/12,780.88 = 5,012.56/x
  3. Step 3: Cross multiply
    9,261.49x = 12,780.88 × 5,012.56
  4. Step 4: Simplify right side
    9,261.49x = 64,064,874.82
  5. Step 5: Solve for x
    x = 64,064,874.82/9,261.49
  6. Step 6: Final answer
    x = 6,917.34

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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.