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Finding the Fourth Proportional to 9,802.75, 14,695.85 and 4,251.91

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Solution

The fourth proportional to 9,802.75, 14,695.85 and 4,251.91 is: 6,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.75 : 14,695.85 = 4,251.91 : x
  2. Step 2: Convert to fraction form
    9,802.75/14,695.85 = 4,251.91/x
  3. Step 3: Cross multiply
    9,802.75x = 14,695.85 × 4,251.91
  4. Step 4: Simplify right side
    9,802.75x = 62,485,358.09
  5. Step 5: Solve for x
    x = 62,485,358.09/9,802.75
  6. Step 6: Final answer
    x = 6,374.27

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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.