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Finding the Fourth Proportional to 7,040.93, 9,664.71 and 6,226.40

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Solution

The fourth proportional to 7,040.93, 9,664.71 and 6,226.40 is: 8,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.93 : 9,664.71 = 6,226.40 : x
  2. Step 2: Convert to fraction form
    7,040.93/9,664.71 = 6,226.40/x
  3. Step 3: Cross multiply
    7,040.93x = 9,664.71 × 6,226.40
  4. Step 4: Simplify right side
    7,040.93x = 60,176,374.51
  5. Step 5: Solve for x
    x = 60,176,374.51/7,040.93
  6. Step 6: Final answer
    x = 8,546.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.