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Finding the Fourth Proportional to 9,535.98, 14,304.94 and 3,295.18

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Solution

The fourth proportional to 9,535.98, 14,304.94 and 3,295.18 is: 4,943.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.98 : 14,304.94 = 3,295.18 : x
  2. Step 2: Convert to fraction form
    9,535.98/14,304.94 = 3,295.18/x
  3. Step 3: Cross multiply
    9,535.98x = 14,304.94 × 3,295.18
  4. Step 4: Simplify right side
    9,535.98x = 47,137,352.19
  5. Step 5: Solve for x
    x = 47,137,352.19/9,535.98
  6. Step 6: Final answer
    x = 4,943.11

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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.