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Finding the Fourth Proportional to 9,946.16, 13,726.05 and 5,470.25

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Solution

The fourth proportional to 9,946.16, 13,726.05 and 5,470.25 is: 7,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.16 : 13,726.05 = 5,470.25 : x
  2. Step 2: Convert to fraction form
    9,946.16/13,726.05 = 5,470.25/x
  3. Step 3: Cross multiply
    9,946.16x = 13,726.05 × 5,470.25
  4. Step 4: Simplify right side
    9,946.16x = 75,084,856.38
  5. Step 5: Solve for x
    x = 75,084,856.38/9,946.16
  6. Step 6: Final answer
    x = 7,549.13

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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.