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Finding the Fourth Proportional to 7,009.27, 9,675.14 and 4,177.53

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Solution

The fourth proportional to 7,009.27, 9,675.14 and 4,177.53 is: 5,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.27 : 9,675.14 = 4,177.53 : x
  2. Step 2: Convert to fraction form
    7,009.27/9,675.14 = 4,177.53/x
  3. Step 3: Cross multiply
    7,009.27x = 9,675.14 × 4,177.53
  4. Step 4: Simplify right side
    7,009.27x = 40,418,187.60
  5. Step 5: Solve for x
    x = 40,418,187.60/7,009.27
  6. Step 6: Final answer
    x = 5,766.39

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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.