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Finding the Fourth Proportional to 6,502.50, 8,970.50 and 4,143.17

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Solution

The fourth proportional to 6,502.50, 8,970.50 and 4,143.17 is: 5,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.50 : 8,970.50 = 4,143.17 : x
  2. Step 2: Convert to fraction form
    6,502.50/8,970.50 = 4,143.17/x
  3. Step 3: Cross multiply
    6,502.50x = 8,970.50 × 4,143.17
  4. Step 4: Simplify right side
    6,502.50x = 37,166,273.70
  5. Step 5: Solve for x
    x = 37,166,273.70/6,502.50
  6. Step 6: Final answer
    x = 5,715.69

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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.