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Finding the Fourth Proportional to 6,616.02, 9,130.19 and 3,631.80

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Solution

The fourth proportional to 6,616.02, 9,130.19 and 3,631.80 is: 5,011.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.02 : 9,130.19 = 3,631.80 : x
  2. Step 2: Convert to fraction form
    6,616.02/9,130.19 = 3,631.80/x
  3. Step 3: Cross multiply
    6,616.02x = 9,130.19 × 3,631.80
  4. Step 4: Simplify right side
    6,616.02x = 33,159,024.04
  5. Step 5: Solve for x
    x = 33,159,024.04/6,616.02
  6. Step 6: Final answer
    x = 5,011.93

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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.