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Finding the Fourth Proportional to 9,278.88, 13,883.43 and 6,510.95

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Solution

The fourth proportional to 9,278.88, 13,883.43 and 6,510.95 is: 9,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.88 : 13,883.43 = 6,510.95 : x
  2. Step 2: Convert to fraction form
    9,278.88/13,883.43 = 6,510.95/x
  3. Step 3: Cross multiply
    9,278.88x = 13,883.43 × 6,510.95
  4. Step 4: Simplify right side
    9,278.88x = 90,394,318.56
  5. Step 5: Solve for x
    x = 90,394,318.56/9,278.88
  6. Step 6: Final answer
    x = 9,741.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.