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Finding the Fourth Proportional to 9,586.95, 13,229.49 and 5,395.47

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Solution

The fourth proportional to 9,586.95, 13,229.49 and 5,395.47 is: 7,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.95 : 13,229.49 = 5,395.47 : x
  2. Step 2: Convert to fraction form
    9,586.95/13,229.49 = 5,395.47/x
  3. Step 3: Cross multiply
    9,586.95x = 13,229.49 × 5,395.47
  4. Step 4: Simplify right side
    9,586.95x = 71,379,316.41
  5. Step 5: Solve for x
    x = 71,379,316.41/9,586.95
  6. Step 6: Final answer
    x = 7,445.47

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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.