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Finding the Fourth Proportional to 6,772.32, 9,352.40 and 4,415.76

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Solution

The fourth proportional to 6,772.32, 9,352.40 and 4,415.76 is: 6,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.32 : 9,352.40 = 4,415.76 : x
  2. Step 2: Convert to fraction form
    6,772.32/9,352.40 = 4,415.76/x
  3. Step 3: Cross multiply
    6,772.32x = 9,352.40 × 4,415.76
  4. Step 4: Simplify right side
    6,772.32x = 41,297,953.82
  5. Step 5: Solve for x
    x = 41,297,953.82/6,772.32
  6. Step 6: Final answer
    x = 6,098.05

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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.