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Finding the Fourth Proportional to 6,886.42, 9,503.22 and 3,901.96

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Solution

The fourth proportional to 6,886.42, 9,503.22 and 3,901.96 is: 5,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.42 : 9,503.22 = 3,901.96 : x
  2. Step 2: Convert to fraction form
    6,886.42/9,503.22 = 3,901.96/x
  3. Step 3: Cross multiply
    6,886.42x = 9,503.22 × 3,901.96
  4. Step 4: Simplify right side
    6,886.42x = 37,081,184.31
  5. Step 5: Solve for x
    x = 37,081,184.31/6,886.42
  6. Step 6: Final answer
    x = 5,384.68

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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.