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Finding the Fourth Proportional to 6,502.24, 8,970.66 and 4,265.36

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Solution

The fourth proportional to 6,502.24, 8,970.66 and 4,265.36 is: 5,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.24 : 8,970.66 = 4,265.36 : x
  2. Step 2: Convert to fraction form
    6,502.24/8,970.66 = 4,265.36/x
  3. Step 3: Cross multiply
    6,502.24x = 8,970.66 × 4,265.36
  4. Step 4: Simplify right side
    6,502.24x = 38,263,049.48
  5. Step 5: Solve for x
    x = 38,263,049.48/6,502.24
  6. Step 6: Final answer
    x = 5,884.60

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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.