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Finding the Fourth Proportional to 6,890.24, 9,508.32 and 4,095.68

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Solution

The fourth proportional to 6,890.24, 9,508.32 and 4,095.68 is: 5,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.24 : 9,508.32 = 4,095.68 : x
  2. Step 2: Convert to fraction form
    6,890.24/9,508.32 = 4,095.68/x
  3. Step 3: Cross multiply
    6,890.24x = 9,508.32 × 4,095.68
  4. Step 4: Simplify right side
    6,890.24x = 38,943,036.06
  5. Step 5: Solve for x
    x = 38,943,036.06/6,890.24
  6. Step 6: Final answer
    x = 5,651.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.