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Finding the Fourth Proportional to 6,271.34, 9,394.25 and 5,032.04

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Solution

The fourth proportional to 6,271.34, 9,394.25 and 5,032.04 is: 7,537.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.34 : 9,394.25 = 5,032.04 : x
  2. Step 2: Convert to fraction form
    6,271.34/9,394.25 = 5,032.04/x
  3. Step 3: Cross multiply
    6,271.34x = 9,394.25 × 5,032.04
  4. Step 4: Simplify right side
    6,271.34x = 47,272,169.64
  5. Step 5: Solve for x
    x = 47,272,169.64/6,271.34
  6. Step 6: Final answer
    x = 7,537.82

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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.