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Finding the Fourth Proportional to 9,802.01, 14,700.29 and 3,957.26

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Solution

The fourth proportional to 9,802.01, 14,700.29 and 3,957.26 is: 5,934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.01 : 14,700.29 = 3,957.26 : x
  2. Step 2: Convert to fraction form
    9,802.01/14,700.29 = 3,957.26/x
  3. Step 3: Cross multiply
    9,802.01x = 14,700.29 × 3,957.26
  4. Step 4: Simplify right side
    9,802.01x = 58,172,776.32
  5. Step 5: Solve for x
    x = 58,172,776.32/9,802.01
  6. Step 6: Final answer
    x = 5,934.78

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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.