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Finding the Fourth Proportional to 9,535.57, 13,151.85 and 8,354.59

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Solution

The fourth proportional to 9,535.57, 13,151.85 and 8,354.59 is: 11,522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.57 : 13,151.85 = 8,354.59 : x
  2. Step 2: Convert to fraction form
    9,535.57/13,151.85 = 8,354.59/x
  3. Step 3: Cross multiply
    9,535.57x = 13,151.85 × 8,354.59
  4. Step 4: Simplify right side
    9,535.57x = 109,878,314.49
  5. Step 5: Solve for x
    x = 109,878,314.49/9,535.57
  6. Step 6: Final answer
    x = 11,522.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.