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Finding the Fourth Proportional to 6,547.38, 9,821.11 and 1,867.37

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Solution

The fourth proportional to 6,547.38, 9,821.11 and 1,867.37 is: 2,801.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.38 : 9,821.11 = 1,867.37 : x
  2. Step 2: Convert to fraction form
    6,547.38/9,821.11 = 1,867.37/x
  3. Step 3: Cross multiply
    6,547.38x = 9,821.11 × 1,867.37
  4. Step 4: Simplify right side
    6,547.38x = 18,339,666.07
  5. Step 5: Solve for x
    x = 18,339,666.07/6,547.38
  6. Step 6: Final answer
    x = 2,801.07

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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.