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Finding the Fourth Proportional to 6,685.50, 9,216.34 and 4,689.86

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Solution

The fourth proportional to 6,685.50, 9,216.34 and 4,689.86 is: 6,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.50 : 9,216.34 = 4,689.86 : x
  2. Step 2: Convert to fraction form
    6,685.50/9,216.34 = 4,689.86/x
  3. Step 3: Cross multiply
    6,685.50x = 9,216.34 × 4,689.86
  4. Step 4: Simplify right side
    6,685.50x = 43,223,344.31
  5. Step 5: Solve for x
    x = 43,223,344.31/6,685.50
  6. Step 6: Final answer
    x = 6,465.24

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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.