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Finding the Fourth Proportional to 6,406.38, 9,643.56 and 4,570.20

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Solution

The fourth proportional to 6,406.38, 9,643.56 and 4,570.20 is: 6,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.38 : 9,643.56 = 4,570.20 : x
  2. Step 2: Convert to fraction form
    6,406.38/9,643.56 = 4,570.20/x
  3. Step 3: Cross multiply
    6,406.38x = 9,643.56 × 4,570.20
  4. Step 4: Simplify right side
    6,406.38x = 44,072,997.91
  5. Step 5: Solve for x
    x = 44,072,997.91/6,406.38
  6. Step 6: Final answer
    x = 6,879.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.