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Finding the Fourth Proportional to 9,506.44, 14,261 and 2,933.16

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Solution

The fourth proportional to 9,506.44, 14,261 and 2,933.16 is: 4,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.44 : 14,261 = 2,933.16 : x
  2. Step 2: Convert to fraction form
    9,506.44/14,261 = 2,933.16/x
  3. Step 3: Cross multiply
    9,506.44x = 14,261 × 2,933.16
  4. Step 4: Simplify right side
    9,506.44x = 41,829,794.76
  5. Step 5: Solve for x
    x = 41,829,794.76/9,506.44
  6. Step 6: Final answer
    x = 4,400.15

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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.