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Finding the Fourth Proportional to 6,191.64, 9,299.61 and 4,807.76

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Solution

The fourth proportional to 6,191.64, 9,299.61 and 4,807.76 is: 7,221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.64 : 9,299.61 = 4,807.76 : x
  2. Step 2: Convert to fraction form
    6,191.64/9,299.61 = 4,807.76/x
  3. Step 3: Cross multiply
    6,191.64x = 9,299.61 × 4,807.76
  4. Step 4: Simplify right side
    6,191.64x = 44,710,246.48
  5. Step 5: Solve for x
    x = 44,710,246.48/6,191.64
  6. Step 6: Final answer
    x = 7,221.07

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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.