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Finding the Fourth Proportional to 6,215.86, 9,264.65 and 5,865.94

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Solution

The fourth proportional to 6,215.86, 9,264.65 and 5,865.94 is: 8,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.86 : 9,264.65 = 5,865.94 : x
  2. Step 2: Convert to fraction form
    6,215.86/9,264.65 = 5,865.94/x
  3. Step 3: Cross multiply
    6,215.86x = 9,264.65 × 5,865.94
  4. Step 4: Simplify right side
    6,215.86x = 54,345,881.02
  5. Step 5: Solve for x
    x = 54,345,881.02/6,215.86
  6. Step 6: Final answer
    x = 8,743.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.