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Finding the Fourth Proportional to 9,642.41, 13,306.59 and 5,611.64

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Solution

The fourth proportional to 9,642.41, 13,306.59 and 5,611.64 is: 7,744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.41 : 13,306.59 = 5,611.64 : x
  2. Step 2: Convert to fraction form
    9,642.41/13,306.59 = 5,611.64/x
  3. Step 3: Cross multiply
    9,642.41x = 13,306.59 × 5,611.64
  4. Step 4: Simplify right side
    9,642.41x = 74,671,726.17
  5. Step 5: Solve for x
    x = 74,671,726.17/9,642.41
  6. Step 6: Final answer
    x = 7,744.09

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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.