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Finding the Fourth Proportional to 9,617.52, 13,272.65 and 5,368.96

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Solution

The fourth proportional to 9,617.52, 13,272.65 and 5,368.96 is: 7,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.52 : 13,272.65 = 5,368.96 : x
  2. Step 2: Convert to fraction form
    9,617.52/13,272.65 = 5,368.96/x
  3. Step 3: Cross multiply
    9,617.52x = 13,272.65 × 5,368.96
  4. Step 4: Simplify right side
    9,617.52x = 71,260,326.94
  5. Step 5: Solve for x
    x = 71,260,326.94/9,617.52
  6. Step 6: Final answer
    x = 7,409.43

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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.