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Finding the Fourth Proportional to 6,591.14, 9,095.80 and 3,607.10

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Solution

The fourth proportional to 6,591.14, 9,095.80 and 3,607.10 is: 4,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.14 : 9,095.80 = 3,607.10 : x
  2. Step 2: Convert to fraction form
    6,591.14/9,095.80 = 3,607.10/x
  3. Step 3: Cross multiply
    6,591.14x = 9,095.80 × 3,607.10
  4. Step 4: Simplify right side
    6,591.14x = 32,809,460.18
  5. Step 5: Solve for x
    x = 32,809,460.18/6,591.14
  6. Step 6: Final answer
    x = 4,977.81

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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.