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Finding the Fourth Proportional to 9,006.99, 13,502.31 and 3,160.41

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Solution

The fourth proportional to 9,006.99, 13,502.31 and 3,160.41 is: 4,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.99 : 13,502.31 = 3,160.41 : x
  2. Step 2: Convert to fraction form
    9,006.99/13,502.31 = 3,160.41/x
  3. Step 3: Cross multiply
    9,006.99x = 13,502.31 × 3,160.41
  4. Step 4: Simplify right side
    9,006.99x = 42,672,835.55
  5. Step 5: Solve for x
    x = 42,672,835.55/9,006.99
  6. Step 6: Final answer
    x = 4,737.75

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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.