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Finding the Fourth Proportional to 9,340.10, 14,016.22 and 3,496.66

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Solution

The fourth proportional to 9,340.10, 14,016.22 and 3,496.66 is: 5,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.10 : 14,016.22 = 3,496.66 : x
  2. Step 2: Convert to fraction form
    9,340.10/14,016.22 = 3,496.66/x
  3. Step 3: Cross multiply
    9,340.10x = 14,016.22 × 3,496.66
  4. Step 4: Simplify right side
    9,340.10x = 49,009,955.83
  5. Step 5: Solve for x
    x = 49,009,955.83/9,340.10
  6. Step 6: Final answer
    x = 5,247.26

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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.