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Finding the Fourth Proportional to 6,863.71, 9,466.15 and 5,445.16

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Solution

The fourth proportional to 6,863.71, 9,466.15 and 5,445.16 is: 7,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.71 : 9,466.15 = 5,445.16 : x
  2. Step 2: Convert to fraction form
    6,863.71/9,466.15 = 5,445.16/x
  3. Step 3: Cross multiply
    6,863.71x = 9,466.15 × 5,445.16
  4. Step 4: Simplify right side
    6,863.71x = 51,544,701.33
  5. Step 5: Solve for x
    x = 51,544,701.33/6,863.71
  6. Step 6: Final answer
    x = 7,509.74

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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.