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Finding the Fourth Proportional to 9,802.23, 14,695.08 and 4,251.39

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Solution

The fourth proportional to 9,802.23, 14,695.08 and 4,251.39 is: 6,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.23 : 14,695.08 = 4,251.39 : x
  2. Step 2: Convert to fraction form
    9,802.23/14,695.08 = 4,251.39/x
  3. Step 3: Cross multiply
    9,802.23x = 14,695.08 × 4,251.39
  4. Step 4: Simplify right side
    9,802.23x = 62,474,563.30
  5. Step 5: Solve for x
    x = 62,474,563.30/9,802.23
  6. Step 6: Final answer
    x = 6,373.51

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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.