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Finding the Fourth Proportional to 6,904.58, 9,528.28 and 4,215.78

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Solution

The fourth proportional to 6,904.58, 9,528.28 and 4,215.78 is: 5,817.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.58 : 9,528.28 = 4,215.78 : x
  2. Step 2: Convert to fraction form
    6,904.58/9,528.28 = 4,215.78/x
  3. Step 3: Cross multiply
    6,904.58x = 9,528.28 × 4,215.78
  4. Step 4: Simplify right side
    6,904.58x = 40,169,145.43
  5. Step 5: Solve for x
    x = 40,169,145.43/6,904.58
  6. Step 6: Final answer
    x = 5,817.76

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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.