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Finding the Fourth Proportional to 6,335.04, 9,502.70 and 2,175.02

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Solution

The fourth proportional to 6,335.04, 9,502.70 and 2,175.02 is: 3,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.04 : 9,502.70 = 2,175.02 : x
  2. Step 2: Convert to fraction form
    6,335.04/9,502.70 = 2,175.02/x
  3. Step 3: Cross multiply
    6,335.04x = 9,502.70 × 2,175.02
  4. Step 4: Simplify right side
    6,335.04x = 20,668,562.55
  5. Step 5: Solve for x
    x = 20,668,562.55/6,335.04
  6. Step 6: Final answer
    x = 3,262.58

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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.