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Finding the Fourth Proportional to 6,214.58, 8,569.01 and 4,640.02

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Solution

The fourth proportional to 6,214.58, 8,569.01 and 4,640.02 is: 6,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.58 : 8,569.01 = 4,640.02 : x
  2. Step 2: Convert to fraction form
    6,214.58/8,569.01 = 4,640.02/x
  3. Step 3: Cross multiply
    6,214.58x = 8,569.01 × 4,640.02
  4. Step 4: Simplify right side
    6,214.58x = 39,760,377.78
  5. Step 5: Solve for x
    x = 39,760,377.78/6,214.58
  6. Step 6: Final answer
    x = 6,397.92

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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.