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Finding the Fourth Proportional to 6,400.92, 9,620.90 and 4,677.24

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Solution

The fourth proportional to 6,400.92, 9,620.90 and 4,677.24 is: 7,030.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.92 : 9,620.90 = 4,677.24 : x
  2. Step 2: Convert to fraction form
    6,400.92/9,620.90 = 4,677.24/x
  3. Step 3: Cross multiply
    6,400.92x = 9,620.90 × 4,677.24
  4. Step 4: Simplify right side
    6,400.92x = 44,999,258.32
  5. Step 5: Solve for x
    x = 44,999,258.32/6,400.92
  6. Step 6: Final answer
    x = 7,030.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.