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Finding the Fourth Proportional to 9,557.69, 13,196.04 and 7,315.55

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Solution

The fourth proportional to 9,557.69, 13,196.04 and 7,315.55 is: 10,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.69 : 13,196.04 = 7,315.55 : x
  2. Step 2: Convert to fraction form
    9,557.69/13,196.04 = 7,315.55/x
  3. Step 3: Cross multiply
    9,557.69x = 13,196.04 × 7,315.55
  4. Step 4: Simplify right side
    9,557.69x = 96,536,290.42
  5. Step 5: Solve for x
    x = 96,536,290.42/9,557.69
  6. Step 6: Final answer
    x = 10,100.38

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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.