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Finding the Fourth Proportional to 6,315.72, 9,474.28 and 5,155.59

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Solution

The fourth proportional to 6,315.72, 9,474.28 and 5,155.59 is: 7,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.72 : 9,474.28 = 5,155.59 : x
  2. Step 2: Convert to fraction form
    6,315.72/9,474.28 = 5,155.59/x
  3. Step 3: Cross multiply
    6,315.72x = 9,474.28 × 5,155.59
  4. Step 4: Simplify right side
    6,315.72x = 48,845,503.23
  5. Step 5: Solve for x
    x = 48,845,503.23/6,315.72
  6. Step 6: Final answer
    x = 7,733.96

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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.