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Finding the Fourth Proportional to 9,357.74, 12,913.56 and 5,324.48

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Solution

The fourth proportional to 9,357.74, 12,913.56 and 5,324.48 is: 7,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.74 : 12,913.56 = 5,324.48 : x
  2. Step 2: Convert to fraction form
    9,357.74/12,913.56 = 5,324.48/x
  3. Step 3: Cross multiply
    9,357.74x = 12,913.56 × 5,324.48
  4. Step 4: Simplify right side
    9,357.74x = 68,757,927.38
  5. Step 5: Solve for x
    x = 68,757,927.38/9,357.74
  6. Step 6: Final answer
    x = 7,347.70

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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.