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Finding the Fourth Proportional to 12,291.94, 16,964.33 and 6,987.55

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Solution

The fourth proportional to 12,291.94, 16,964.33 and 6,987.55 is: 9,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.94 : 16,964.33 = 6,987.55 : x
  2. Step 2: Convert to fraction form
    12,291.94/16,964.33 = 6,987.55/x
  3. Step 3: Cross multiply
    12,291.94x = 16,964.33 × 6,987.55
  4. Step 4: Simplify right side
    12,291.94x = 118,539,116.56
  5. Step 5: Solve for x
    x = 118,539,116.56/12,291.94
  6. Step 6: Final answer
    x = 9,643.65

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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.