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Finding the Fourth Proportional to 9,322.30, 12,862 and 5,543.54

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Solution

The fourth proportional to 9,322.30, 12,862 and 5,543.54 is: 7,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.30 : 12,862 = 5,543.54 : x
  2. Step 2: Convert to fraction form
    9,322.30/12,862 = 5,543.54/x
  3. Step 3: Cross multiply
    9,322.30x = 12,862 × 5,543.54
  4. Step 4: Simplify right side
    9,322.30x = 71,301,011.48
  5. Step 5: Solve for x
    x = 71,301,011.48/9,322.30
  6. Step 6: Final answer
    x = 7,648.44

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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.