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Finding the Fourth Proportional to 9,046.50, 13,569.62 and 3,201.68

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Solution

The fourth proportional to 9,046.50, 13,569.62 and 3,201.68 is: 4,802.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.50 : 13,569.62 = 3,201.68 : x
  2. Step 2: Convert to fraction form
    9,046.50/13,569.62 = 3,201.68/x
  3. Step 3: Cross multiply
    9,046.50x = 13,569.62 × 3,201.68
  4. Step 4: Simplify right side
    9,046.50x = 43,445,497.11
  5. Step 5: Solve for x
    x = 43,445,497.11/9,046.50
  6. Step 6: Final answer
    x = 4,802.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.