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Finding the Fourth Proportional to 6,925.32, 10,391.76 and 4,009.32

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Solution

The fourth proportional to 6,925.32, 10,391.76 and 4,009.32 is: 6,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925.32 : 10,391.76 = 4,009.32 : x
  2. Step 2: Convert to fraction form
    6,925.32/10,391.76 = 4,009.32/x
  3. Step 3: Cross multiply
    6,925.32x = 10,391.76 × 4,009.32
  4. Step 4: Simplify right side
    6,925.32x = 41,663,891.20
  5. Step 5: Solve for x
    x = 41,663,891.20/6,925.32
  6. Step 6: Final answer
    x = 6,016.17

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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.