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Finding the Fourth Proportional to 9,544.61, 14,324.61 and 6,581.23

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Solution

The fourth proportional to 9,544.61, 14,324.61 and 6,581.23 is: 9,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.61 : 14,324.61 = 6,581.23 : x
  2. Step 2: Convert to fraction form
    9,544.61/14,324.61 = 6,581.23/x
  3. Step 3: Cross multiply
    9,544.61x = 14,324.61 × 6,581.23
  4. Step 4: Simplify right side
    9,544.61x = 94,273,553.07
  5. Step 5: Solve for x
    x = 94,273,553.07/9,544.61
  6. Step 6: Final answer
    x = 9,877.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.