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Finding the Fourth Proportional to 6,176.10, 9,264.15 and 5,859.30

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Solution

The fourth proportional to 6,176.10, 9,264.15 and 5,859.30 is: 8,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.10 : 9,264.15 = 5,859.30 : x
  2. Step 2: Convert to fraction form
    6,176.10/9,264.15 = 5,859.30/x
  3. Step 3: Cross multiply
    6,176.10x = 9,264.15 × 5,859.30
  4. Step 4: Simplify right side
    6,176.10x = 54,281,434.10
  5. Step 5: Solve for x
    x = 54,281,434.10/6,176.10
  6. Step 6: Final answer
    x = 8,788.95

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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.