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Finding the Fourth Proportional to 6,833.54, 9,416.58 and 4,734.02

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Solution

The fourth proportional to 6,833.54, 9,416.58 and 4,734.02 is: 6,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.54 : 9,416.58 = 4,734.02 : x
  2. Step 2: Convert to fraction form
    6,833.54/9,416.58 = 4,734.02/x
  3. Step 3: Cross multiply
    6,833.54x = 9,416.58 × 4,734.02
  4. Step 4: Simplify right side
    6,833.54x = 44,578,278.05
  5. Step 5: Solve for x
    x = 44,578,278.05/6,833.54
  6. Step 6: Final answer
    x = 6,523.45

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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.