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Finding the Fourth Proportional to 9,886.27, 14,822.42 and 4,615.71

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Solution

The fourth proportional to 9,886.27, 14,822.42 and 4,615.71 is: 6,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.27 : 14,822.42 = 4,615.71 : x
  2. Step 2: Convert to fraction form
    9,886.27/14,822.42 = 4,615.71/x
  3. Step 3: Cross multiply
    9,886.27x = 14,822.42 × 4,615.71
  4. Step 4: Simplify right side
    9,886.27x = 68,415,992.22
  5. Step 5: Solve for x
    x = 68,415,992.22/9,886.27
  6. Step 6: Final answer
    x = 6,920.30

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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.