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Finding the Fourth Proportional to 6,866.64, 9,477.36 and 4,073.76

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Solution

The fourth proportional to 6,866.64, 9,477.36 and 4,073.76 is: 5,622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.64 : 9,477.36 = 4,073.76 : x
  2. Step 2: Convert to fraction form
    6,866.64/9,477.36 = 4,073.76/x
  3. Step 3: Cross multiply
    6,866.64x = 9,477.36 × 4,073.76
  4. Step 4: Simplify right side
    6,866.64x = 38,608,490.07
  5. Step 5: Solve for x
    x = 38,608,490.07/6,866.64
  6. Step 6: Final answer
    x = 5,622.62

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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.