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Finding the Fourth Proportional to 6,501.88, 8,969.70 and 4,143.16

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Solution

The fourth proportional to 6,501.88, 8,969.70 and 4,143.16 is: 5,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.88 : 8,969.70 = 4,143.16 : x
  2. Step 2: Convert to fraction form
    6,501.88/8,969.70 = 4,143.16/x
  3. Step 3: Cross multiply
    6,501.88x = 8,969.70 × 4,143.16
  4. Step 4: Simplify right side
    6,501.88x = 37,162,902.25
  5. Step 5: Solve for x
    x = 37,162,902.25/6,501.88
  6. Step 6: Final answer
    x = 5,715.72

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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.