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Finding the Fourth Proportional to 6,143.04, 9,214.65 and 4,196.70

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Solution

The fourth proportional to 6,143.04, 9,214.65 and 4,196.70 is: 6,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.04 : 9,214.65 = 4,196.70 : x
  2. Step 2: Convert to fraction form
    6,143.04/9,214.65 = 4,196.70/x
  3. Step 3: Cross multiply
    6,143.04x = 9,214.65 × 4,196.70
  4. Step 4: Simplify right side
    6,143.04x = 38,671,121.66
  5. Step 5: Solve for x
    x = 38,671,121.66/6,143.04
  6. Step 6: Final answer
    x = 6,295.11

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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.