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Finding the Fourth Proportional to 9,642.82, 14,466.03 and 4,378.19

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Solution

The fourth proportional to 9,642.82, 14,466.03 and 4,378.19 is: 6,568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.82 : 14,466.03 = 4,378.19 : x
  2. Step 2: Convert to fraction form
    9,642.82/14,466.03 = 4,378.19/x
  3. Step 3: Cross multiply
    9,642.82x = 14,466.03 × 4,378.19
  4. Step 4: Simplify right side
    9,642.82x = 63,335,064.05
  5. Step 5: Solve for x
    x = 63,335,064.05/9,642.82
  6. Step 6: Final answer
    x = 6,568.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.