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Finding the Fourth Proportional to 6,569.32, 9,853.98 and 4,382.32

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Solution

The fourth proportional to 6,569.32, 9,853.98 and 4,382.32 is: 6,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.32 : 9,853.98 = 4,382.32 : x
  2. Step 2: Convert to fraction form
    6,569.32/9,853.98 = 4,382.32/x
  3. Step 3: Cross multiply
    6,569.32x = 9,853.98 × 4,382.32
  4. Step 4: Simplify right side
    6,569.32x = 43,183,293.63
  5. Step 5: Solve for x
    x = 43,183,293.63/6,569.32
  6. Step 6: Final answer
    x = 6,573.48

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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.