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Finding the Fourth Proportional to 6,973.56, 9,623.70 and 3,990.06

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Solution

The fourth proportional to 6,973.56, 9,623.70 and 3,990.06 is: 5,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.56 : 9,623.70 = 3,990.06 : x
  2. Step 2: Convert to fraction form
    6,973.56/9,623.70 = 3,990.06/x
  3. Step 3: Cross multiply
    6,973.56x = 9,623.70 × 3,990.06
  4. Step 4: Simplify right side
    6,973.56x = 38,399,140.42
  5. Step 5: Solve for x
    x = 38,399,140.42/6,973.56
  6. Step 6: Final answer
    x = 5,506.39

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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.