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Finding the Fourth Proportional to 9,285.84, 12,818.25 and 6,923.88

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Solution

The fourth proportional to 9,285.84, 12,818.25 and 6,923.88 is: 9,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.84 : 12,818.25 = 6,923.88 : x
  2. Step 2: Convert to fraction form
    9,285.84/12,818.25 = 6,923.88/x
  3. Step 3: Cross multiply
    9,285.84x = 12,818.25 × 6,923.88
  4. Step 4: Simplify right side
    9,285.84x = 88,752,024.81
  5. Step 5: Solve for x
    x = 88,752,024.81/9,285.84
  6. Step 6: Final answer
    x = 9,557.78

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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.