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Finding the Fourth Proportional to 6,888.34, 9,506.10 and 3,904.62

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Solution

The fourth proportional to 6,888.34, 9,506.10 and 3,904.62 is: 5,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,888.34 : 9,506.10 = 3,904.62 : x
  2. Step 2: Convert to fraction form
    6,888.34/9,506.10 = 3,904.62/x
  3. Step 3: Cross multiply
    6,888.34x = 9,506.10 × 3,904.62
  4. Step 4: Simplify right side
    6,888.34x = 37,117,708.18
  5. Step 5: Solve for x
    x = 37,117,708.18/6,888.34
  6. Step 6: Final answer
    x = 5,388.48

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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.