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Finding the Fourth Proportional to 9,608.71, 13,259.51 and 5,416.69

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Solution

The fourth proportional to 9,608.71, 13,259.51 and 5,416.69 is: 7,474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.71 : 13,259.51 = 5,416.69 : x
  2. Step 2: Convert to fraction form
    9,608.71/13,259.51 = 5,416.69/x
  3. Step 3: Cross multiply
    9,608.71x = 13,259.51 × 5,416.69
  4. Step 4: Simplify right side
    9,608.71x = 71,822,628.14
  5. Step 5: Solve for x
    x = 71,822,628.14/9,608.71
  6. Step 6: Final answer
    x = 7,474.74

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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.