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Finding the Fourth Proportional to 9,498.77, 14,251.04 and 6,730.80

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Solution

The fourth proportional to 9,498.77, 14,251.04 and 6,730.80 is: 10,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.77 : 14,251.04 = 6,730.80 : x
  2. Step 2: Convert to fraction form
    9,498.77/14,251.04 = 6,730.80/x
  3. Step 3: Cross multiply
    9,498.77x = 14,251.04 × 6,730.80
  4. Step 4: Simplify right side
    9,498.77x = 95,920,838.18
  5. Step 5: Solve for x
    x = 95,920,838.18/9,498.77
  6. Step 6: Final answer
    x = 10,098.24

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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.