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Finding the Fourth Proportional to 8,130.42, 11,227.95 and 6,944.58

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Solution

The fourth proportional to 8,130.42, 11,227.95 and 6,944.58 is: 9,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.42 : 11,227.95 = 6,944.58 : x
  2. Step 2: Convert to fraction form
    8,130.42/11,227.95 = 6,944.58/x
  3. Step 3: Cross multiply
    8,130.42x = 11,227.95 × 6,944.58
  4. Step 4: Simplify right side
    8,130.42x = 77,973,397.01
  5. Step 5: Solve for x
    x = 77,973,397.01/8,130.42
  6. Step 6: Final answer
    x = 9,590.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.