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Finding the Fourth Proportional to 7,091.76, 9,781.65 and 6,145.89

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Solution

The fourth proportional to 7,091.76, 9,781.65 and 6,145.89 is: 8,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.76 : 9,781.65 = 6,145.89 : x
  2. Step 2: Convert to fraction form
    7,091.76/9,781.65 = 6,145.89/x
  3. Step 3: Cross multiply
    7,091.76x = 9,781.65 × 6,145.89
  4. Step 4: Simplify right side
    7,091.76x = 60,116,944.92
  5. Step 5: Solve for x
    x = 60,116,944.92/7,091.76
  6. Step 6: Final answer
    x = 8,477.01

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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.