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Finding the Fourth Proportional to 9,866.91, 14,802.32 and 3,202.17

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Solution

The fourth proportional to 9,866.91, 14,802.32 and 3,202.17 is: 4,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.91 : 14,802.32 = 3,202.17 : x
  2. Step 2: Convert to fraction form
    9,866.91/14,802.32 = 3,202.17/x
  3. Step 3: Cross multiply
    9,866.91x = 14,802.32 × 3,202.17
  4. Step 4: Simplify right side
    9,866.91x = 47,399,521.15
  5. Step 5: Solve for x
    x = 47,399,521.15/9,866.91
  6. Step 6: Final answer
    x = 4,803.89

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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.