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Finding the Fourth Proportional to 6,340.02, 9,503.10 and 2,176.08

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Solution

The fourth proportional to 6,340.02, 9,503.10 and 2,176.08 is: 3,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.02 : 9,503.10 = 2,176.08 : x
  2. Step 2: Convert to fraction form
    6,340.02/9,503.10 = 2,176.08/x
  3. Step 3: Cross multiply
    6,340.02x = 9,503.10 × 2,176.08
  4. Step 4: Simplify right side
    6,340.02x = 20,679,505.85
  5. Step 5: Solve for x
    x = 20,679,505.85/6,340.02
  6. Step 6: Final answer
    x = 3,261.74

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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.