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Finding the Fourth Proportional to 9,510.72, 13,129.20 and 5,530.38

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Solution

The fourth proportional to 9,510.72, 13,129.20 and 5,530.38 is: 7,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.72 : 13,129.20 = 5,530.38 : x
  2. Step 2: Convert to fraction form
    9,510.72/13,129.20 = 5,530.38/x
  3. Step 3: Cross multiply
    9,510.72x = 13,129.20 × 5,530.38
  4. Step 4: Simplify right side
    9,510.72x = 72,609,465.10
  5. Step 5: Solve for x
    x = 72,609,465.10/9,510.72
  6. Step 6: Final answer
    x = 7,634.49

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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.