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Finding the Fourth Proportional to 6,695.92, 9,237.40 and 4,707.76

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Solution

The fourth proportional to 6,695.92, 9,237.40 and 4,707.76 is: 6,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.92 : 9,237.40 = 4,707.76 : x
  2. Step 2: Convert to fraction form
    6,695.92/9,237.40 = 4,707.76/x
  3. Step 3: Cross multiply
    6,695.92x = 9,237.40 × 4,707.76
  4. Step 4: Simplify right side
    6,695.92x = 43,487,462.22
  5. Step 5: Solve for x
    x = 43,487,462.22/6,695.92
  6. Step 6: Final answer
    x = 6,494.62

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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.