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Finding the Fourth Proportional to 6,553.65, 9,820.76 and 6,330.09

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Solution

The fourth proportional to 6,553.65, 9,820.76 and 6,330.09 is: 9,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.65 : 9,820.76 = 6,330.09 : x
  2. Step 2: Convert to fraction form
    6,553.65/9,820.76 = 6,330.09/x
  3. Step 3: Cross multiply
    6,553.65x = 9,820.76 × 6,330.09
  4. Step 4: Simplify right side
    6,553.65x = 62,166,263.02
  5. Step 5: Solve for x
    x = 62,166,263.02/6,553.65
  6. Step 6: Final answer
    x = 9,485.75

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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.