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Finding the Fourth Proportional to 6,323.95, 9,488.66 and 2,427.45

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Solution

The fourth proportional to 6,323.95, 9,488.66 and 2,427.45 is: 3,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.95 : 9,488.66 = 2,427.45 : x
  2. Step 2: Convert to fraction form
    6,323.95/9,488.66 = 2,427.45/x
  3. Step 3: Cross multiply
    6,323.95x = 9,488.66 × 2,427.45
  4. Step 4: Simplify right side
    6,323.95x = 23,033,247.72
  5. Step 5: Solve for x
    x = 23,033,247.72/6,323.95
  6. Step 6: Final answer
    x = 3,642.22

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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.