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Finding the Fourth Proportional to 6,595.27, 9,883.70 and 4,737.69

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Solution

The fourth proportional to 6,595.27, 9,883.70 and 4,737.69 is: 7,099.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.27 : 9,883.70 = 4,737.69 : x
  2. Step 2: Convert to fraction form
    6,595.27/9,883.70 = 4,737.69/x
  3. Step 3: Cross multiply
    6,595.27x = 9,883.70 × 4,737.69
  4. Step 4: Simplify right side
    6,595.27x = 46,825,887.41
  5. Step 5: Solve for x
    x = 46,825,887.41/6,595.27
  6. Step 6: Final answer
    x = 7,099.92

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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.