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Finding the Fourth Proportional to 9,586.30, 13,229 and 5,606.66

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Solution

The fourth proportional to 9,586.30, 13,229 and 5,606.66 is: 7,737.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.30 : 13,229 = 5,606.66 : x
  2. Step 2: Convert to fraction form
    9,586.30/13,229 = 5,606.66/x
  3. Step 3: Cross multiply
    9,586.30x = 13,229 × 5,606.66
  4. Step 4: Simplify right side
    9,586.30x = 74,170,505.14
  5. Step 5: Solve for x
    x = 74,170,505.14/9,586.30
  6. Step 6: Final answer
    x = 7,737.14

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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.