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Finding the Fourth Proportional to 6,662.06, 9,206.83 and 5,465.13

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Solution

The fourth proportional to 6,662.06, 9,206.83 and 5,465.13 is: 7,552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.06 : 9,206.83 = 5,465.13 : x
  2. Step 2: Convert to fraction form
    6,662.06/9,206.83 = 5,465.13/x
  3. Step 3: Cross multiply
    6,662.06x = 9,206.83 × 5,465.13
  4. Step 4: Simplify right side
    6,662.06x = 50,316,522.84
  5. Step 5: Solve for x
    x = 50,316,522.84/6,662.06
  6. Step 6: Final answer
    x = 7,552.70

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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.