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Finding the Fourth Proportional to 6,920.62, 9,548.15 and 4,088.90

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Solution

The fourth proportional to 6,920.62, 9,548.15 and 4,088.90 is: 5,641.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.62 : 9,548.15 = 4,088.90 : x
  2. Step 2: Convert to fraction form
    6,920.62/9,548.15 = 4,088.90/x
  3. Step 3: Cross multiply
    6,920.62x = 9,548.15 × 4,088.90
  4. Step 4: Simplify right side
    6,920.62x = 39,041,433.96
  5. Step 5: Solve for x
    x = 39,041,433.96/6,920.62
  6. Step 6: Final answer
    x = 5,641.32

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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.