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Finding the Fourth Proportional to 9,686.17, 13,366.38 and 5,494.42

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Solution

The fourth proportional to 9,686.17, 13,366.38 and 5,494.42 is: 7,582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.17 : 13,366.38 = 5,494.42 : x
  2. Step 2: Convert to fraction form
    9,686.17/13,366.38 = 5,494.42/x
  3. Step 3: Cross multiply
    9,686.17x = 13,366.38 × 5,494.42
  4. Step 4: Simplify right side
    9,686.17x = 73,440,505.60
  5. Step 5: Solve for x
    x = 73,440,505.60/9,686.17
  6. Step 6: Final answer
    x = 7,582.00

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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.