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Finding the Fourth Proportional to 9,654.19, 13,323.18 and 5,462.44

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Solution

The fourth proportional to 9,654.19, 13,323.18 and 5,462.44 is: 7,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.19 : 13,323.18 = 5,462.44 : x
  2. Step 2: Convert to fraction form
    9,654.19/13,323.18 = 5,462.44/x
  3. Step 3: Cross multiply
    9,654.19x = 13,323.18 × 5,462.44
  4. Step 4: Simplify right side
    9,654.19x = 72,777,058.54
  5. Step 5: Solve for x
    x = 72,777,058.54/9,654.19
  6. Step 6: Final answer
    x = 7,538.39

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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.