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Finding the Fourth Proportional to 9,642.90, 14,461.23 and 3,067.55

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Solution

The fourth proportional to 9,642.90, 14,461.23 and 3,067.55 is: 4,600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.90 : 14,461.23 = 3,067.55 : x
  2. Step 2: Convert to fraction form
    9,642.90/14,461.23 = 3,067.55/x
  3. Step 3: Cross multiply
    9,642.90x = 14,461.23 × 3,067.55
  4. Step 4: Simplify right side
    9,642.90x = 44,360,498.84
  5. Step 5: Solve for x
    x = 44,360,498.84/9,642.90
  6. Step 6: Final answer
    x = 4,600.33

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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.