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Finding the Fourth Proportional to 6,181.25, 9,264.11 and 4,417.07

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Solution

The fourth proportional to 6,181.25, 9,264.11 and 4,417.07 is: 6,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.25 : 9,264.11 = 4,417.07 : x
  2. Step 2: Convert to fraction form
    6,181.25/9,264.11 = 4,417.07/x
  3. Step 3: Cross multiply
    6,181.25x = 9,264.11 × 4,417.07
  4. Step 4: Simplify right side
    6,181.25x = 40,920,153.95
  5. Step 5: Solve for x
    x = 40,920,153.95/6,181.25
  6. Step 6: Final answer
    x = 6,620.05

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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.