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Finding the Fourth Proportional to 9,521.69, 14,282.12 and 2,596.19

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Solution

The fourth proportional to 9,521.69, 14,282.12 and 2,596.19 is: 3,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521.69 : 14,282.12 = 2,596.19 : x
  2. Step 2: Convert to fraction form
    9,521.69/14,282.12 = 2,596.19/x
  3. Step 3: Cross multiply
    9,521.69x = 14,282.12 × 2,596.19
  4. Step 4: Simplify right side
    9,521.69x = 37,079,032.20
  5. Step 5: Solve for x
    x = 37,079,032.20/9,521.69
  6. Step 6: Final answer
    x = 3,894.17

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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.