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Finding the Fourth Proportional to 6,674.70, 9,210.15 and 3,689.74

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Solution

The fourth proportional to 6,674.70, 9,210.15 and 3,689.74 is: 5,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.70 : 9,210.15 = 3,689.74 : x
  2. Step 2: Convert to fraction form
    6,674.70/9,210.15 = 3,689.74/x
  3. Step 3: Cross multiply
    6,674.70x = 9,210.15 × 3,689.74
  4. Step 4: Simplify right side
    6,674.70x = 33,983,058.86
  5. Step 5: Solve for x
    x = 33,983,058.86/6,674.70
  6. Step 6: Final answer
    x = 5,091.32

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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.