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Finding the Fourth Proportional to 6,601.90, 9,902.85 and 4,384.30

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Solution

The fourth proportional to 6,601.90, 9,902.85 and 4,384.30 is: 6,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.90 : 9,902.85 = 4,384.30 : x
  2. Step 2: Convert to fraction form
    6,601.90/9,902.85 = 4,384.30/x
  3. Step 3: Cross multiply
    6,601.90x = 9,902.85 × 4,384.30
  4. Step 4: Simplify right side
    6,601.90x = 43,417,065.26
  5. Step 5: Solve for x
    x = 43,417,065.26/6,601.90
  6. Step 6: Final answer
    x = 6,576.45

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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.