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Finding the Fourth Proportional to 9,608.37, 14,417.95 and 5,226.13

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Solution

The fourth proportional to 9,608.37, 14,417.95 and 5,226.13 is: 7,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.37 : 14,417.95 = 5,226.13 : x
  2. Step 2: Convert to fraction form
    9,608.37/14,417.95 = 5,226.13/x
  3. Step 3: Cross multiply
    9,608.37x = 14,417.95 × 5,226.13
  4. Step 4: Simplify right side
    9,608.37x = 75,350,081.03
  5. Step 5: Solve for x
    x = 75,350,081.03/9,608.37
  6. Step 6: Final answer
    x = 7,842.13

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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.