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Finding the Fourth Proportional to 6,414.12, 9,565.18 and 5,706.18

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Solution

The fourth proportional to 6,414.12, 9,565.18 and 5,706.18 is: 8,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.12 : 9,565.18 = 5,706.18 : x
  2. Step 2: Convert to fraction form
    6,414.12/9,565.18 = 5,706.18/x
  3. Step 3: Cross multiply
    6,414.12x = 9,565.18 × 5,706.18
  4. Step 4: Simplify right side
    6,414.12x = 54,580,638.81
  5. Step 5: Solve for x
    x = 54,580,638.81/6,414.12
  6. Step 6: Final answer
    x = 8,509.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.