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Finding the Fourth Proportional to 6,686.88, 9,973.77 and 6,301.44

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Solution

The fourth proportional to 6,686.88, 9,973.77 and 6,301.44 is: 9,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.88 : 9,973.77 = 6,301.44 : x
  2. Step 2: Convert to fraction form
    6,686.88/9,973.77 = 6,301.44/x
  3. Step 3: Cross multiply
    6,686.88x = 9,973.77 × 6,301.44
  4. Step 4: Simplify right side
    6,686.88x = 62,849,113.23
  5. Step 5: Solve for x
    x = 62,849,113.23/6,686.88
  6. Step 6: Final answer
    x = 9,398.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.