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Finding the Fourth Proportional to 6,595.61, 9,892.17 and 3,307.82

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Solution

The fourth proportional to 6,595.61, 9,892.17 and 3,307.82 is: 4,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.61 : 9,892.17 = 3,307.82 : x
  2. Step 2: Convert to fraction form
    6,595.61/9,892.17 = 3,307.82/x
  3. Step 3: Cross multiply
    6,595.61x = 9,892.17 × 3,307.82
  4. Step 4: Simplify right side
    6,595.61x = 32,721,468.31
  5. Step 5: Solve for x
    x = 32,721,468.31/6,595.61
  6. Step 6: Final answer
    x = 4,961.10

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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.