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Finding the Fourth Proportional to 6,886.86, 9,503.10 and 3,902.64

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Solution

The fourth proportional to 6,886.86, 9,503.10 and 3,902.64 is: 5,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.86 : 9,503.10 = 3,902.64 : x
  2. Step 2: Convert to fraction form
    6,886.86/9,503.10 = 3,902.64/x
  3. Step 3: Cross multiply
    6,886.86x = 9,503.10 × 3,902.64
  4. Step 4: Simplify right side
    6,886.86x = 37,087,178.18
  5. Step 5: Solve for x
    x = 37,087,178.18/6,886.86
  6. Step 6: Final answer
    x = 5,385.21

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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.