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Finding the Fourth Proportional to 9,586.20, 14,400.90 and 6,670.20

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Solution

The fourth proportional to 9,586.20, 14,400.90 and 6,670.20 is: 10,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.20 : 14,400.90 = 6,670.20 : x
  2. Step 2: Convert to fraction form
    9,586.20/14,400.90 = 6,670.20/x
  3. Step 3: Cross multiply
    9,586.20x = 14,400.90 × 6,670.20
  4. Step 4: Simplify right side
    9,586.20x = 96,056,883.18
  5. Step 5: Solve for x
    x = 96,056,883.18/9,586.20
  6. Step 6: Final answer
    x = 10,020.33

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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.