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Finding the Fourth Proportional to 7,118.64, 9,816.06 and 4,993.47

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Solution

The fourth proportional to 7,118.64, 9,816.06 and 4,993.47 is: 6,885.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.64 : 9,816.06 = 4,993.47 : x
  2. Step 2: Convert to fraction form
    7,118.64/9,816.06 = 4,993.47/x
  3. Step 3: Cross multiply
    7,118.64x = 9,816.06 × 4,993.47
  4. Step 4: Simplify right side
    7,118.64x = 49,016,201.13
  5. Step 5: Solve for x
    x = 49,016,201.13/7,118.64
  6. Step 6: Final answer
    x = 6,885.61

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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.