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Finding the Fourth Proportional to 6,475.95, 9,709.67 and 3,191.20

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Solution

The fourth proportional to 6,475.95, 9,709.67 and 3,191.20 is: 4,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.95 : 9,709.67 = 3,191.20 : x
  2. Step 2: Convert to fraction form
    6,475.95/9,709.67 = 3,191.20/x
  3. Step 3: Cross multiply
    6,475.95x = 9,709.67 × 3,191.20
  4. Step 4: Simplify right side
    6,475.95x = 30,985,482.61
  5. Step 5: Solve for x
    x = 30,985,482.61/6,475.95
  6. Step 6: Final answer
    x = 4,784.70

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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.