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Finding the Fourth Proportional to 9,586.17, 14,379.30 and 3,346.16

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Solution

The fourth proportional to 9,586.17, 14,379.30 and 3,346.16 is: 5,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.17 : 14,379.30 = 3,346.16 : x
  2. Step 2: Convert to fraction form
    9,586.17/14,379.30 = 3,346.16/x
  3. Step 3: Cross multiply
    9,586.17x = 14,379.30 × 3,346.16
  4. Step 4: Simplify right side
    9,586.17x = 48,115,366.59
  5. Step 5: Solve for x
    x = 48,115,366.59/9,586.17
  6. Step 6: Final answer
    x = 5,019.25

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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.