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Finding the Fourth Proportional to 9,833.40, 14,741.46 and 4,645.56

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Solution

The fourth proportional to 9,833.40, 14,741.46 and 4,645.56 is: 6,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.40 : 14,741.46 = 4,645.56 : x
  2. Step 2: Convert to fraction form
    9,833.40/14,741.46 = 4,645.56/x
  3. Step 3: Cross multiply
    9,833.40x = 14,741.46 × 4,645.56
  4. Step 4: Simplify right side
    9,833.40x = 68,482,336.92
  5. Step 5: Solve for x
    x = 68,482,336.92/9,833.40
  6. Step 6: Final answer
    x = 6,964.26

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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.