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Finding the Fourth Proportional to 7,090.74, 9,785.66 and 5,909.76

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Solution

The fourth proportional to 7,090.74, 9,785.66 and 5,909.76 is: 8,155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.74 : 9,785.66 = 5,909.76 : x
  2. Step 2: Convert to fraction form
    7,090.74/9,785.66 = 5,909.76/x
  3. Step 3: Cross multiply
    7,090.74x = 9,785.66 × 5,909.76
  4. Step 4: Simplify right side
    7,090.74x = 57,830,902.04
  5. Step 5: Solve for x
    x = 57,830,902.04/7,090.74
  6. Step 6: Final answer
    x = 8,155.83

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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.