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Finding the Fourth Proportional to 6,948.48, 9,589.02 and 3,804.84

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Solution

The fourth proportional to 6,948.48, 9,589.02 and 3,804.84 is: 5,250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.48 : 9,589.02 = 3,804.84 : x
  2. Step 2: Convert to fraction form
    6,948.48/9,589.02 = 3,804.84/x
  3. Step 3: Cross multiply
    6,948.48x = 9,589.02 × 3,804.84
  4. Step 4: Simplify right side
    6,948.48x = 36,484,686.86
  5. Step 5: Solve for x
    x = 36,484,686.86/6,948.48
  6. Step 6: Final answer
    x = 5,250.74

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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.