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Finding the Fourth Proportional to 6,214.86, 9,263.16 and 5,864.94

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Solution

The fourth proportional to 6,214.86, 9,263.16 and 5,864.94 is: 8,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.86 : 9,263.16 = 5,864.94 : x
  2. Step 2: Convert to fraction form
    6,214.86/9,263.16 = 5,864.94/x
  3. Step 3: Cross multiply
    6,214.86x = 9,263.16 × 5,864.94
  4. Step 4: Simplify right side
    6,214.86x = 54,327,877.61
  5. Step 5: Solve for x
    x = 54,327,877.61/6,214.86
  6. Step 6: Final answer
    x = 8,741.61

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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.