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Finding the Fourth Proportional to 6,454.48, 9,658.68 and 6,020.56

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Solution

The fourth proportional to 6,454.48, 9,658.68 and 6,020.56 is: 9,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.48 : 9,658.68 = 6,020.56 : x
  2. Step 2: Convert to fraction form
    6,454.48/9,658.68 = 6,020.56/x
  3. Step 3: Cross multiply
    6,454.48x = 9,658.68 × 6,020.56
  4. Step 4: Simplify right side
    6,454.48x = 58,150,662.46
  5. Step 5: Solve for x
    x = 58,150,662.46/6,454.48
  6. Step 6: Final answer
    x = 9,009.35

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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.