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Finding the Fourth Proportional to 9,401.52, 14,102.04 and 2,827.77

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Solution

The fourth proportional to 9,401.52, 14,102.04 and 2,827.77 is: 4,241.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.52 : 14,102.04 = 2,827.77 : x
  2. Step 2: Convert to fraction form
    9,401.52/14,102.04 = 2,827.77/x
  3. Step 3: Cross multiply
    9,401.52x = 14,102.04 × 2,827.77
  4. Step 4: Simplify right side
    9,401.52x = 39,877,325.65
  5. Step 5: Solve for x
    x = 39,877,325.65/9,401.52
  6. Step 6: Final answer
    x = 4,241.58

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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.