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Finding the Fourth Proportional to 6,294.29, 9,423.21 and 4,740.84

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Solution

The fourth proportional to 6,294.29, 9,423.21 and 4,740.84 is: 7,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.29 : 9,423.21 = 4,740.84 : x
  2. Step 2: Convert to fraction form
    6,294.29/9,423.21 = 4,740.84/x
  3. Step 3: Cross multiply
    6,294.29x = 9,423.21 × 4,740.84
  4. Step 4: Simplify right side
    6,294.29x = 44,673,919.19
  5. Step 5: Solve for x
    x = 44,673,919.19/6,294.29
  6. Step 6: Final answer
    x = 7,097.53

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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.