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Finding the Fourth Proportional to 7,008.63, 9,671.87 and 3,864.81

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Solution

The fourth proportional to 7,008.63, 9,671.87 and 3,864.81 is: 5,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.63 : 9,671.87 = 3,864.81 : x
  2. Step 2: Convert to fraction form
    7,008.63/9,671.87 = 3,864.81/x
  3. Step 3: Cross multiply
    7,008.63x = 9,671.87 × 3,864.81
  4. Step 4: Simplify right side
    7,008.63x = 37,379,985.83
  5. Step 5: Solve for x
    x = 37,379,985.83/7,008.63
  6. Step 6: Final answer
    x = 5,333.43

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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.