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Finding the Fourth Proportional to 6,591.94, 9,084.60 and 5,406.10

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Solution

The fourth proportional to 6,591.94, 9,084.60 and 5,406.10 is: 7,450.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.94 : 9,084.60 = 5,406.10 : x
  2. Step 2: Convert to fraction form
    6,591.94/9,084.60 = 5,406.10/x
  3. Step 3: Cross multiply
    6,591.94x = 9,084.60 × 5,406.10
  4. Step 4: Simplify right side
    6,591.94x = 49,112,256.06
  5. Step 5: Solve for x
    x = 49,112,256.06/6,591.94
  6. Step 6: Final answer
    x = 7,450.35

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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.