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Finding the Fourth Proportional to 9,498.38, 14,240.98 and 4,230.59

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Solution

The fourth proportional to 9,498.38, 14,240.98 and 4,230.59 is: 6,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.38 : 14,240.98 = 4,230.59 : x
  2. Step 2: Convert to fraction form
    9,498.38/14,240.98 = 4,230.59/x
  3. Step 3: Cross multiply
    9,498.38x = 14,240.98 × 4,230.59
  4. Step 4: Simplify right side
    9,498.38x = 60,247,763.95
  5. Step 5: Solve for x
    x = 60,247,763.95/9,498.38
  6. Step 6: Final answer
    x = 6,342.95

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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.