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Finding the Fourth Proportional to 6,186.81, 9,275.81 and 2,898.11

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Solution

The fourth proportional to 6,186.81, 9,275.81 and 2,898.11 is: 4,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.81 : 9,275.81 = 2,898.11 : x
  2. Step 2: Convert to fraction form
    6,186.81/9,275.81 = 2,898.11/x
  3. Step 3: Cross multiply
    6,186.81x = 9,275.81 × 2,898.11
  4. Step 4: Simplify right side
    6,186.81x = 26,882,329.31
  5. Step 5: Solve for x
    x = 26,882,329.31/6,186.81
  6. Step 6: Final answer
    x = 4,345.10

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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.