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Finding the Fourth Proportional to 6,746.60, 9,299.67 and 5,065.58

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Solution

The fourth proportional to 6,746.60, 9,299.67 and 5,065.58 is: 6,982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.60 : 9,299.67 = 5,065.58 : x
  2. Step 2: Convert to fraction form
    6,746.60/9,299.67 = 5,065.58/x
  3. Step 3: Cross multiply
    6,746.60x = 9,299.67 × 5,065.58
  4. Step 4: Simplify right side
    6,746.60x = 47,108,222.36
  5. Step 5: Solve for x
    x = 47,108,222.36/6,746.60
  6. Step 6: Final answer
    x = 6,982.51

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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.