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Finding the Fourth Proportional to 7,091.32, 9,784.80 and 4,106.08

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Solution

The fourth proportional to 7,091.32, 9,784.80 and 4,106.08 is: 5,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.32 : 9,784.80 = 4,106.08 : x
  2. Step 2: Convert to fraction form
    7,091.32/9,784.80 = 4,106.08/x
  3. Step 3: Cross multiply
    7,091.32x = 9,784.80 × 4,106.08
  4. Step 4: Simplify right side
    7,091.32x = 40,177,171.58
  5. Step 5: Solve for x
    x = 40,177,171.58/7,091.32
  6. Step 6: Final answer
    x = 5,665.68

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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.