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Finding the Fourth Proportional to 6,232.12, 9,353.88 and 4,854.34

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Solution

The fourth proportional to 6,232.12, 9,353.88 and 4,854.34 is: 7,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.12 : 9,353.88 = 4,854.34 : x
  2. Step 2: Convert to fraction form
    6,232.12/9,353.88 = 4,854.34/x
  3. Step 3: Cross multiply
    6,232.12x = 9,353.88 × 4,854.34
  4. Step 4: Simplify right side
    6,232.12x = 45,406,913.84
  5. Step 5: Solve for x
    x = 45,406,913.84/6,232.12
  6. Step 6: Final answer
    x = 7,285.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.