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Finding the Fourth Proportional to 9,517.74, 14,263.65 and 6,048.78

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Solution

The fourth proportional to 9,517.74, 14,263.65 and 6,048.78 is: 9,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.74 : 14,263.65 = 6,048.78 : x
  2. Step 2: Convert to fraction form
    9,517.74/14,263.65 = 6,048.78/x
  3. Step 3: Cross multiply
    9,517.74x = 14,263.65 × 6,048.78
  4. Step 4: Simplify right side
    9,517.74x = 86,277,680.85
  5. Step 5: Solve for x
    x = 86,277,680.85/9,517.74
  6. Step 6: Final answer
    x = 9,064.93

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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.