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Finding the Fourth Proportional to 6,095.82, 9,143.72 and 1,478.82

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Solution

The fourth proportional to 6,095.82, 9,143.72 and 1,478.82 is: 2,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.82 : 9,143.72 = 1,478.82 : x
  2. Step 2: Convert to fraction form
    6,095.82/9,143.72 = 1,478.82/x
  3. Step 3: Cross multiply
    6,095.82x = 9,143.72 × 1,478.82
  4. Step 4: Simplify right side
    6,095.82x = 13,521,870.29
  5. Step 5: Solve for x
    x = 13,521,870.29/6,095.82
  6. Step 6: Final answer
    x = 2,218.22

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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.