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Finding the Fourth Proportional to 9,535.95, 14,305.46 and 4,605.96

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Solution

The fourth proportional to 9,535.95, 14,305.46 and 4,605.96 is: 6,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.95 : 14,305.46 = 4,605.96 : x
  2. Step 2: Convert to fraction form
    9,535.95/14,305.46 = 4,605.96/x
  3. Step 3: Cross multiply
    9,535.95x = 14,305.46 × 4,605.96
  4. Step 4: Simplify right side
    9,535.95x = 65,890,433.07
  5. Step 5: Solve for x
    x = 65,890,433.07/9,535.95
  6. Step 6: Final answer
    x = 6,909.69

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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.