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Finding the Fourth Proportional to 6,904.32, 9,506.87 and 5,205.30

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Solution

The fourth proportional to 6,904.32, 9,506.87 and 5,205.30 is: 7,167.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.32 : 9,506.87 = 5,205.30 : x
  2. Step 2: Convert to fraction form
    6,904.32/9,506.87 = 5,205.30/x
  3. Step 3: Cross multiply
    6,904.32x = 9,506.87 × 5,205.30
  4. Step 4: Simplify right side
    6,904.32x = 49,486,110.41
  5. Step 5: Solve for x
    x = 49,486,110.41/6,904.32
  6. Step 6: Final answer
    x = 7,167.41

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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.