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Finding the Fourth Proportional to 6,307.39, 9,462.75 and 5,618.79

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Solution

The fourth proportional to 6,307.39, 9,462.75 and 5,618.79 is: 8,429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.39 : 9,462.75 = 5,618.79 : x
  2. Step 2: Convert to fraction form
    6,307.39/9,462.75 = 5,618.79/x
  3. Step 3: Cross multiply
    6,307.39x = 9,462.75 × 5,618.79
  4. Step 4: Simplify right side
    6,307.39x = 53,169,205.07
  5. Step 5: Solve for x
    x = 53,169,205.07/6,307.39
  6. Step 6: Final answer
    x = 8,429.67

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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.