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Finding the Fourth Proportional to 6,695.76, 9,233.78 and 4,453.74

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Solution

The fourth proportional to 6,695.76, 9,233.78 and 4,453.74 is: 6,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.76 : 9,233.78 = 4,453.74 : x
  2. Step 2: Convert to fraction form
    6,695.76/9,233.78 = 4,453.74/x
  3. Step 3: Cross multiply
    6,695.76x = 9,233.78 × 4,453.74
  4. Step 4: Simplify right side
    6,695.76x = 41,124,855.34
  5. Step 5: Solve for x
    x = 41,124,855.34/6,695.76
  6. Step 6: Final answer
    x = 6,141.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.