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Finding the Fourth Proportional to 9,608.70, 13,260.15 and 5,417.22

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Solution

The fourth proportional to 9,608.70, 13,260.15 and 5,417.22 is: 7,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.70 : 13,260.15 = 5,417.22 : x
  2. Step 2: Convert to fraction form
    9,608.70/13,260.15 = 5,417.22/x
  3. Step 3: Cross multiply
    9,608.70x = 13,260.15 × 5,417.22
  4. Step 4: Simplify right side
    9,608.70x = 71,833,149.78
  5. Step 5: Solve for x
    x = 71,833,149.78/9,608.70
  6. Step 6: Final answer
    x = 7,475.84

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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.