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Finding the Fourth Proportional to 10,209.84, 14,082.84 and 6,676.08

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Solution

The fourth proportional to 10,209.84, 14,082.84 and 6,676.08 is: 9,208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.84 : 14,082.84 = 6,676.08 : x
  2. Step 2: Convert to fraction form
    10,209.84/14,082.84 = 6,676.08/x
  3. Step 3: Cross multiply
    10,209.84x = 14,082.84 × 6,676.08
  4. Step 4: Simplify right side
    10,209.84x = 94,018,166.47
  5. Step 5: Solve for x
    x = 94,018,166.47/10,209.84
  6. Step 6: Final answer
    x = 9,208.58

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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.