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Finding the Fourth Proportional to 6,417.15, 9,609.30 and 5,684.51

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Solution

The fourth proportional to 6,417.15, 9,609.30 and 5,684.51 is: 8,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.15 : 9,609.30 = 5,684.51 : x
  2. Step 2: Convert to fraction form
    6,417.15/9,609.30 = 5,684.51/x
  3. Step 3: Cross multiply
    6,417.15x = 9,609.30 × 5,684.51
  4. Step 4: Simplify right side
    6,417.15x = 54,624,113.90
  5. Step 5: Solve for x
    x = 54,624,113.90/6,417.15
  6. Step 6: Final answer
    x = 8,512.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.