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Finding the Fourth Proportional to 9,478.53, 14,220.83 and 4,548.56

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Solution

The fourth proportional to 9,478.53, 14,220.83 and 4,548.56 is: 6,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.53 : 14,220.83 = 4,548.56 : x
  2. Step 2: Convert to fraction form
    9,478.53/14,220.83 = 4,548.56/x
  3. Step 3: Cross multiply
    9,478.53x = 14,220.83 × 4,548.56
  4. Step 4: Simplify right side
    9,478.53x = 64,684,298.50
  5. Step 5: Solve for x
    x = 64,684,298.50/9,478.53
  6. Step 6: Final answer
    x = 6,824.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.