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Finding the Fourth Proportional to 9,579.42, 14,349.93 and 4,378.14

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Solution

The fourth proportional to 9,579.42, 14,349.93 and 4,378.14 is: 6,558.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.42 : 14,349.93 = 4,378.14 : x
  2. Step 2: Convert to fraction form
    9,579.42/14,349.93 = 4,378.14/x
  3. Step 3: Cross multiply
    9,579.42x = 14,349.93 × 4,378.14
  4. Step 4: Simplify right side
    9,579.42x = 62,826,002.53
  5. Step 5: Solve for x
    x = 62,826,002.53/9,579.42
  6. Step 6: Final answer
    x = 6,558.43

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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.