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Finding the Fourth Proportional to 9,622.41, 13,282.19 and 5,642.07

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Solution

The fourth proportional to 9,622.41, 13,282.19 and 5,642.07 is: 7,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.41 : 13,282.19 = 5,642.07 : x
  2. Step 2: Convert to fraction form
    9,622.41/13,282.19 = 5,642.07/x
  3. Step 3: Cross multiply
    9,622.41x = 13,282.19 × 5,642.07
  4. Step 4: Simplify right side
    9,622.41x = 74,939,045.73
  5. Step 5: Solve for x
    x = 74,939,045.73/9,622.41
  6. Step 6: Final answer
    x = 7,787.97

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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.