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Finding the Fourth Proportional to 9,946.65, 13,726.38 and 5,470.70

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Solution

The fourth proportional to 9,946.65, 13,726.38 and 5,470.70 is: 7,549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.65 : 13,726.38 = 5,470.70 : x
  2. Step 2: Convert to fraction form
    9,946.65/13,726.38 = 5,470.70/x
  3. Step 3: Cross multiply
    9,946.65x = 13,726.38 × 5,470.70
  4. Step 4: Simplify right side
    9,946.65x = 75,092,879.71
  5. Step 5: Solve for x
    x = 75,092,879.71/9,946.65
  6. Step 6: Final answer
    x = 7,549.57

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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.