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Finding the Fourth Proportional to 9,586.17, 13,234.95 and 6,002.46

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Solution

The fourth proportional to 9,586.17, 13,234.95 and 6,002.46 is: 8,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.17 : 13,234.95 = 6,002.46 : x
  2. Step 2: Convert to fraction form
    9,586.17/13,234.95 = 6,002.46/x
  3. Step 3: Cross multiply
    9,586.17x = 13,234.95 × 6,002.46
  4. Step 4: Simplify right side
    9,586.17x = 79,442,257.98
  5. Step 5: Solve for x
    x = 79,442,257.98/9,586.17
  6. Step 6: Final answer
    x = 8,287.17

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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.