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Finding the Fourth Proportional to 7,100.70, 9,799.14 and 3,956.95

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Solution

The fourth proportional to 7,100.70, 9,799.14 and 3,956.95 is: 5,460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.70 : 9,799.14 = 3,956.95 : x
  2. Step 2: Convert to fraction form
    7,100.70/9,799.14 = 3,956.95/x
  3. Step 3: Cross multiply
    7,100.70x = 9,799.14 × 3,956.95
  4. Step 4: Simplify right side
    7,100.70x = 38,774,707.02
  5. Step 5: Solve for x
    x = 38,774,707.02/7,100.70
  6. Step 6: Final answer
    x = 5,460.69

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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.