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Finding the Fourth Proportional to 9,134.47, 13,700.33 and 2,893.68

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Solution

The fourth proportional to 9,134.47, 13,700.33 and 2,893.68 is: 4,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.47 : 13,700.33 = 2,893.68 : x
  2. Step 2: Convert to fraction form
    9,134.47/13,700.33 = 2,893.68/x
  3. Step 3: Cross multiply
    9,134.47x = 13,700.33 × 2,893.68
  4. Step 4: Simplify right side
    9,134.47x = 39,644,370.91
  5. Step 5: Solve for x
    x = 39,644,370.91/9,134.47
  6. Step 6: Final answer
    x = 4,340.08

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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.