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Finding the Fourth Proportional to 9,740.16, 13,444.92 and 5,764.68

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Solution

The fourth proportional to 9,740.16, 13,444.92 and 5,764.68 is: 7,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.16 : 13,444.92 = 5,764.68 : x
  2. Step 2: Convert to fraction form
    9,740.16/13,444.92 = 5,764.68/x
  3. Step 3: Cross multiply
    9,740.16x = 13,444.92 × 5,764.68
  4. Step 4: Simplify right side
    9,740.16x = 77,505,661.43
  5. Step 5: Solve for x
    x = 77,505,661.43/9,740.16
  6. Step 6: Final answer
    x = 7,957.33

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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.