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Finding the Fourth Proportional to 9,499.16, 13,108.82 and 5,307.41

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Solution

The fourth proportional to 9,499.16, 13,108.82 and 5,307.41 is: 7,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.16 : 13,108.82 = 5,307.41 : x
  2. Step 2: Convert to fraction form
    9,499.16/13,108.82 = 5,307.41/x
  3. Step 3: Cross multiply
    9,499.16x = 13,108.82 × 5,307.41
  4. Step 4: Simplify right side
    9,499.16x = 69,573,882.36
  5. Step 5: Solve for x
    x = 69,573,882.36/9,499.16
  6. Step 6: Final answer
    x = 7,324.21

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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.