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Finding the Fourth Proportional to 9,597.26, 14,395.82 and 3,672.78

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Solution

The fourth proportional to 9,597.26, 14,395.82 and 3,672.78 is: 5,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.26 : 14,395.82 = 3,672.78 : x
  2. Step 2: Convert to fraction form
    9,597.26/14,395.82 = 3,672.78/x
  3. Step 3: Cross multiply
    9,597.26x = 14,395.82 × 3,672.78
  4. Step 4: Simplify right side
    9,597.26x = 52,872,661.42
  5. Step 5: Solve for x
    x = 52,872,661.42/9,597.26
  6. Step 6: Final answer
    x = 5,509.14

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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.