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Finding the Fourth Proportional to 9,278.75, 13,883.25 and 6,510.83

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Solution

The fourth proportional to 9,278.75, 13,883.25 and 6,510.83 is: 9,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.75 : 13,883.25 = 6,510.83 : x
  2. Step 2: Convert to fraction form
    9,278.75/13,883.25 = 6,510.83/x
  3. Step 3: Cross multiply
    9,278.75x = 13,883.25 × 6,510.83
  4. Step 4: Simplify right side
    9,278.75x = 90,391,411.18
  5. Step 5: Solve for x
    x = 90,391,411.18/9,278.75
  6. Step 6: Final answer
    x = 9,741.77

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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.