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Finding the Fourth Proportional to 6,686.40, 9,220.47 and 4,032.24

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Solution

The fourth proportional to 6,686.40, 9,220.47 and 4,032.24 is: 5,560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.40 : 9,220.47 = 4,032.24 : x
  2. Step 2: Convert to fraction form
    6,686.40/9,220.47 = 4,032.24/x
  3. Step 3: Cross multiply
    6,686.40x = 9,220.47 × 4,032.24
  4. Step 4: Simplify right side
    6,686.40x = 37,179,147.95
  5. Step 5: Solve for x
    x = 37,179,147.95/6,686.40
  6. Step 6: Final answer
    x = 5,560.41

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