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Finding the Fourth Proportional to 9,559.53, 13,192.30 and 5,310.86

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Solution

The fourth proportional to 9,559.53, 13,192.30 and 5,310.86 is: 7,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.53 : 13,192.30 = 5,310.86 : x
  2. Step 2: Convert to fraction form
    9,559.53/13,192.30 = 5,310.86/x
  3. Step 3: Cross multiply
    9,559.53x = 13,192.30 × 5,310.86
  4. Step 4: Simplify right side
    9,559.53x = 70,062,458.38
  5. Step 5: Solve for x
    x = 70,062,458.38/9,559.53
  6. Step 6: Final answer
    x = 7,329.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.