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Finding the Fourth Proportional to 6,307.14, 9,443.46 and 4,839.42

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Solution

The fourth proportional to 6,307.14, 9,443.46 and 4,839.42 is: 7,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.14 : 9,443.46 = 4,839.42 : x
  2. Step 2: Convert to fraction form
    6,307.14/9,443.46 = 4,839.42/x
  3. Step 3: Cross multiply
    6,307.14x = 9,443.46 × 4,839.42
  4. Step 4: Simplify right side
    6,307.14x = 45,700,869.19
  5. Step 5: Solve for x
    x = 45,700,869.19/6,307.14
  6. Step 6: Final answer
    x = 7,245.89

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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.