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Finding the Fourth Proportional to 9,463.68, 13,066.83 and 6,108.44

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Solution

The fourth proportional to 9,463.68, 13,066.83 and 6,108.44 is: 8,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.68 : 13,066.83 = 6,108.44 : x
  2. Step 2: Convert to fraction form
    9,463.68/13,066.83 = 6,108.44/x
  3. Step 3: Cross multiply
    9,463.68x = 13,066.83 × 6,108.44
  4. Step 4: Simplify right side
    9,463.68x = 79,817,881.71
  5. Step 5: Solve for x
    x = 79,817,881.71/9,463.68
  6. Step 6: Final answer
    x = 8,434.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.