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Finding the Fourth Proportional to 6,465.08, 9,701.47 and 6,055.09

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Solution

The fourth proportional to 6,465.08, 9,701.47 and 6,055.09 is: 9,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.08 : 9,701.47 = 6,055.09 : x
  2. Step 2: Convert to fraction form
    6,465.08/9,701.47 = 6,055.09/x
  3. Step 3: Cross multiply
    6,465.08x = 9,701.47 × 6,055.09
  4. Step 4: Simplify right side
    6,465.08x = 58,743,257.30
  5. Step 5: Solve for x
    x = 58,743,257.30/6,465.08
  6. Step 6: Final answer
    x = 9,086.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.