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Finding the Fourth Proportional to 10,209.03, 14,074.52 and 6,617.49

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Solution

The fourth proportional to 10,209.03, 14,074.52 and 6,617.49 is: 9,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.03 : 14,074.52 = 6,617.49 : x
  2. Step 2: Convert to fraction form
    10,209.03/14,074.52 = 6,617.49/x
  3. Step 3: Cross multiply
    10,209.03x = 14,074.52 × 6,617.49
  4. Step 4: Simplify right side
    10,209.03x = 93,137,995.35
  5. Step 5: Solve for x
    x = 93,137,995.35/10,209.03
  6. Step 6: Final answer
    x = 9,123.10

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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.