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Finding the Fourth Proportional to 6,319.77, 9,482.10 and 2,423.28

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Solution

The fourth proportional to 6,319.77, 9,482.10 and 2,423.28 is: 3,635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.77 : 9,482.10 = 2,423.28 : x
  2. Step 2: Convert to fraction form
    6,319.77/9,482.10 = 2,423.28/x
  3. Step 3: Cross multiply
    6,319.77x = 9,482.10 × 2,423.28
  4. Step 4: Simplify right side
    6,319.77x = 22,977,783.29
  5. Step 5: Solve for x
    x = 22,977,783.29/6,319.77
  6. Step 6: Final answer
    x = 3,635.86

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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.