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Finding the Fourth Proportional to 9,535.99, 14,306.47 and 3,612.91

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Solution

The fourth proportional to 9,535.99, 14,306.47 and 3,612.91 is: 5,420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.99 : 14,306.47 = 3,612.91 : x
  2. Step 2: Convert to fraction form
    9,535.99/14,306.47 = 3,612.91/x
  3. Step 3: Cross multiply
    9,535.99x = 14,306.47 × 3,612.91
  4. Step 4: Simplify right side
    9,535.99x = 51,687,988.53
  5. Step 5: Solve for x
    x = 51,687,988.53/9,535.99
  6. Step 6: Final answer
    x = 5,420.31

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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.