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Finding the Fourth Proportional to 6,948.40, 9,589.02 and 3,804.60

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Solution

The fourth proportional to 6,948.40, 9,589.02 and 3,804.60 is: 5,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.40 : 9,589.02 = 3,804.60 : x
  2. Step 2: Convert to fraction form
    6,948.40/9,589.02 = 3,804.60/x
  3. Step 3: Cross multiply
    6,948.40x = 9,589.02 × 3,804.60
  4. Step 4: Simplify right side
    6,948.40x = 36,482,385.49
  5. Step 5: Solve for x
    x = 36,482,385.49/6,948.40
  6. Step 6: Final answer
    x = 5,250.47

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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.