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Finding the Fourth Proportional to 6,536.70, 9,022.59 and 4,300.29

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Solution

The fourth proportional to 6,536.70, 9,022.59 and 4,300.29 is: 5,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.70 : 9,022.59 = 4,300.29 : x
  2. Step 2: Convert to fraction form
    6,536.70/9,022.59 = 4,300.29/x
  3. Step 3: Cross multiply
    6,536.70x = 9,022.59 × 4,300.29
  4. Step 4: Simplify right side
    6,536.70x = 38,799,753.55
  5. Step 5: Solve for x
    x = 38,799,753.55/6,536.70
  6. Step 6: Final answer
    x = 5,935.68

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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.