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Finding the Fourth Proportional to 9,608.80, 13,260.74 and 5,417.32

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Solution

The fourth proportional to 9,608.80, 13,260.74 and 5,417.32 is: 7,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.80 : 13,260.74 = 5,417.32 : x
  2. Step 2: Convert to fraction form
    9,608.80/13,260.74 = 5,417.32/x
  3. Step 3: Cross multiply
    9,608.80x = 13,260.74 × 5,417.32
  4. Step 4: Simplify right side
    9,608.80x = 71,837,672.02
  5. Step 5: Solve for x
    x = 71,837,672.02/9,608.80
  6. Step 6: Final answer
    x = 7,476.24

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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.