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Finding the Fourth Proportional to 6,337.74, 9,503.89 and 2,178.17

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Solution

The fourth proportional to 6,337.74, 9,503.89 and 2,178.17 is: 3,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.74 : 9,503.89 = 2,178.17 : x
  2. Step 2: Convert to fraction form
    6,337.74/9,503.89 = 2,178.17/x
  3. Step 3: Cross multiply
    6,337.74x = 9,503.89 × 2,178.17
  4. Step 4: Simplify right side
    6,337.74x = 20,701,088.08
  5. Step 5: Solve for x
    x = 20,701,088.08/6,337.74
  6. Step 6: Final answer
    x = 3,266.32

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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.