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Finding the Fourth Proportional to 7,289.70, 10,934.55 and 6,339.30

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Solution

The fourth proportional to 7,289.70, 10,934.55 and 6,339.30 is: 9,508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.70 : 10,934.55 = 6,339.30 : x
  2. Step 2: Convert to fraction form
    7,289.70/10,934.55 = 6,339.30/x
  3. Step 3: Cross multiply
    7,289.70x = 10,934.55 × 6,339.30
  4. Step 4: Simplify right side
    7,289.70x = 69,317,392.82
  5. Step 5: Solve for x
    x = 69,317,392.82/7,289.70
  6. Step 6: Final answer
    x = 9,508.95

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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.