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Finding the Fourth Proportional to 6,859.60, 9,466.24 and 3,715.76

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Solution

The fourth proportional to 6,859.60, 9,466.24 and 3,715.76 is: 5,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.60 : 9,466.24 = 3,715.76 : x
  2. Step 2: Convert to fraction form
    6,859.60/9,466.24 = 3,715.76/x
  3. Step 3: Cross multiply
    6,859.60x = 9,466.24 × 3,715.76
  4. Step 4: Simplify right side
    6,859.60x = 35,174,275.94
  5. Step 5: Solve for x
    x = 35,174,275.94/6,859.60
  6. Step 6: Final answer
    x = 5,127.74

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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.