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Finding the Fourth Proportional to 12,874.61, 17,767.35 and 7,209.34

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Solution

The fourth proportional to 12,874.61, 17,767.35 and 7,209.34 is: 9,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.61 : 17,767.35 = 7,209.34 : x
  2. Step 2: Convert to fraction form
    12,874.61/17,767.35 = 7,209.34/x
  3. Step 3: Cross multiply
    12,874.61x = 17,767.35 × 7,209.34
  4. Step 4: Simplify right side
    12,874.61x = 128,090,822.63
  5. Step 5: Solve for x
    x = 128,090,822.63/12,874.61
  6. Step 6: Final answer
    x = 9,949.10

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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.