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Finding the Fourth Proportional to 6,225.42, 9,337.39 and 2,328.78

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Solution

The fourth proportional to 6,225.42, 9,337.39 and 2,328.78 is: 3,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.42 : 9,337.39 = 2,328.78 : x
  2. Step 2: Convert to fraction form
    6,225.42/9,337.39 = 2,328.78/x
  3. Step 3: Cross multiply
    6,225.42x = 9,337.39 × 2,328.78
  4. Step 4: Simplify right side
    6,225.42x = 21,744,727.08
  5. Step 5: Solve for x
    x = 21,744,727.08/6,225.42
  6. Step 6: Final answer
    x = 3,492.89

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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.