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Finding the Fourth Proportional to 9,708.86, 13,398.41 and 5,459.81

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Solution

The fourth proportional to 9,708.86, 13,398.41 and 5,459.81 is: 7,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.86 : 13,398.41 = 5,459.81 : x
  2. Step 2: Convert to fraction form
    9,708.86/13,398.41 = 5,459.81/x
  3. Step 3: Cross multiply
    9,708.86x = 13,398.41 × 5,459.81
  4. Step 4: Simplify right side
    9,708.86x = 73,152,719.56
  5. Step 5: Solve for x
    x = 73,152,719.56/9,708.86
  6. Step 6: Final answer
    x = 7,534.63

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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.