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Finding the Fourth Proportional to 6,508.25, 9,756.39 and 2,347.28

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Solution

The fourth proportional to 6,508.25, 9,756.39 and 2,347.28 is: 3,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.25 : 9,756.39 = 2,347.28 : x
  2. Step 2: Convert to fraction form
    6,508.25/9,756.39 = 2,347.28/x
  3. Step 3: Cross multiply
    6,508.25x = 9,756.39 × 2,347.28
  4. Step 4: Simplify right side
    6,508.25x = 22,900,930.34
  5. Step 5: Solve for x
    x = 22,900,930.34/6,508.25
  6. Step 6: Final answer
    x = 3,518.76

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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.