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Finding the Fourth Proportional to 6,754.19, 9,319.05 and 4,101.64

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Solution

The fourth proportional to 6,754.19, 9,319.05 and 4,101.64 is: 5,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.19 : 9,319.05 = 4,101.64 : x
  2. Step 2: Convert to fraction form
    6,754.19/9,319.05 = 4,101.64/x
  3. Step 3: Cross multiply
    6,754.19x = 9,319.05 × 4,101.64
  4. Step 4: Simplify right side
    6,754.19x = 38,223,364.94
  5. Step 5: Solve for x
    x = 38,223,364.94/6,754.19
  6. Step 6: Final answer
    x = 5,659.21

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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.