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Finding the Fourth Proportional to 9,032, 12,463.36 and 5,053.44

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Solution

The fourth proportional to 9,032, 12,463.36 and 5,053.44 is: 6,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032 : 12,463.36 = 5,053.44 : x
  2. Step 2: Convert to fraction form
    9,032/12,463.36 = 5,053.44/x
  3. Step 3: Cross multiply
    9,032x = 12,463.36 × 5,053.44
  4. Step 4: Simplify right side
    9,032x = 62,982,841.96
  5. Step 5: Solve for x
    x = 62,982,841.96/9,032
  6. Step 6: Final answer
    x = 6,973.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.