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Finding the Fourth Proportional to 6,511.34, 9,767.01 and 4,572.20

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Solution

The fourth proportional to 6,511.34, 9,767.01 and 4,572.20 is: 6,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.34 : 9,767.01 = 4,572.20 : x
  2. Step 2: Convert to fraction form
    6,511.34/9,767.01 = 4,572.20/x
  3. Step 3: Cross multiply
    6,511.34x = 9,767.01 × 4,572.20
  4. Step 4: Simplify right side
    6,511.34x = 44,656,671.17
  5. Step 5: Solve for x
    x = 44,656,671.17/6,511.34
  6. Step 6: Final answer
    x = 6,858.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.