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Finding the Fourth Proportional to 7,062.74, 9,746.98 and 4,269.14

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Solution

The fourth proportional to 7,062.74, 9,746.98 and 4,269.14 is: 5,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.74 : 9,746.98 = 4,269.14 : x
  2. Step 2: Convert to fraction form
    7,062.74/9,746.98 = 4,269.14/x
  3. Step 3: Cross multiply
    7,062.74x = 9,746.98 × 4,269.14
  4. Step 4: Simplify right side
    7,062.74x = 41,611,222.20
  5. Step 5: Solve for x
    x = 41,611,222.20/7,062.74
  6. Step 6: Final answer
    x = 5,891.65

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Why These Related Problems?

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