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Finding the Fourth Proportional to 9,726.57, 13,422.66 and 5,535.63

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Solution

The fourth proportional to 9,726.57, 13,422.66 and 5,535.63 is: 7,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.57 : 13,422.66 = 5,535.63 : x
  2. Step 2: Convert to fraction form
    9,726.57/13,422.66 = 5,535.63/x
  3. Step 3: Cross multiply
    9,726.57x = 13,422.66 × 5,535.63
  4. Step 4: Simplify right side
    9,726.57x = 74,302,879.38
  5. Step 5: Solve for x
    x = 74,302,879.38/9,726.57
  6. Step 6: Final answer
    x = 7,639.17

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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.