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Finding the Fourth Proportional to 9,522.04, 14,282.52 and 2,596

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Solution

The fourth proportional to 9,522.04, 14,282.52 and 2,596 is: 3,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.04 : 14,282.52 = 2,596 : x
  2. Step 2: Convert to fraction form
    9,522.04/14,282.52 = 2,596/x
  3. Step 3: Cross multiply
    9,522.04x = 14,282.52 × 2,596
  4. Step 4: Simplify right side
    9,522.04x = 37,077,421.92
  5. Step 5: Solve for x
    x = 37,077,421.92/9,522.04
  6. Step 6: Final answer
    x = 3,893.85

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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.