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Finding the Fourth Proportional to 9,089.59, 13,633.01 and 5,825.49

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Solution

The fourth proportional to 9,089.59, 13,633.01 and 5,825.49 is: 8,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.59 : 13,633.01 = 5,825.49 : x
  2. Step 2: Convert to fraction form
    9,089.59/13,633.01 = 5,825.49/x
  3. Step 3: Cross multiply
    9,089.59x = 13,633.01 × 5,825.49
  4. Step 4: Simplify right side
    9,089.59x = 79,418,963.42
  5. Step 5: Solve for x
    x = 79,418,963.42/9,089.59
  6. Step 6: Final answer
    x = 8,737.35

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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.