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Finding the Fourth Proportional to 6,278.84, 9,423.92 and 4,615.08

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Solution

The fourth proportional to 6,278.84, 9,423.92 and 4,615.08 is: 6,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.84 : 9,423.92 = 4,615.08 : x
  2. Step 2: Convert to fraction form
    6,278.84/9,423.92 = 4,615.08/x
  3. Step 3: Cross multiply
    6,278.84x = 9,423.92 × 4,615.08
  4. Step 4: Simplify right side
    6,278.84x = 43,492,144.71
  5. Step 5: Solve for x
    x = 43,492,144.71/6,278.84
  6. Step 6: Final answer
    x = 6,926.78

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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.