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Finding the Fourth Proportional to 9,596.10, 14,396.00 and 2,933.04

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Solution

The fourth proportional to 9,596.10, 14,396.00 and 2,933.04 is: 4,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.10 : 14,396.00 = 2,933.04 : x
  2. Step 2: Convert to fraction form
    9,596.10/14,396.00 = 2,933.04/x
  3. Step 3: Cross multiply
    9,596.10x = 14,396.00 × 2,933.04
  4. Step 4: Simplify right side
    9,596.10x = 42,224,083.16
  5. Step 5: Solve for x
    x = 42,224,083.16/9,596.10
  6. Step 6: Final answer
    x = 4,400.13

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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.