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Finding the Fourth Proportional to 9,686.88, 14,537.22 and 4,422.60

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Solution

The fourth proportional to 9,686.88, 14,537.22 and 4,422.60 is: 6,637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.88 : 14,537.22 = 4,422.60 : x
  2. Step 2: Convert to fraction form
    9,686.88/14,537.22 = 4,422.60/x
  3. Step 3: Cross multiply
    9,686.88x = 14,537.22 × 4,422.60
  4. Step 4: Simplify right side
    9,686.88x = 64,292,309.17
  5. Step 5: Solve for x
    x = 64,292,309.17/9,686.88
  6. Step 6: Final answer
    x = 6,637.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.