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Finding the Fourth Proportional to 9,386.77, 12,952.17 and 5,611.47

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Solution

The fourth proportional to 9,386.77, 12,952.17 and 5,611.47 is: 7,742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.77 : 12,952.17 = 5,611.47 : x
  2. Step 2: Convert to fraction form
    9,386.77/12,952.17 = 5,611.47/x
  3. Step 3: Cross multiply
    9,386.77x = 12,952.17 × 5,611.47
  4. Step 4: Simplify right side
    9,386.77x = 72,680,713.39
  5. Step 5: Solve for x
    x = 72,680,713.39/9,386.77
  6. Step 6: Final answer
    x = 7,742.89

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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.