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Finding the Fourth Proportional to 6,830.92, 9,424.70 and 4,707.02

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Solution

The fourth proportional to 6,830.92, 9,424.70 and 4,707.02 is: 6,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.92 : 9,424.70 = 4,707.02 : x
  2. Step 2: Convert to fraction form
    6,830.92/9,424.70 = 4,707.02/x
  3. Step 3: Cross multiply
    6,830.92x = 9,424.70 × 4,707.02
  4. Step 4: Simplify right side
    6,830.92x = 44,362,251.39
  5. Step 5: Solve for x
    x = 44,362,251.39/6,830.92
  6. Step 6: Final answer
    x = 6,494.33

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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.