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Finding the Fourth Proportional to 9,423.84, 14,136.12 and 2,498.40

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Solution

The fourth proportional to 9,423.84, 14,136.12 and 2,498.40 is: 3,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.84 : 14,136.12 = 2,498.40 : x
  2. Step 2: Convert to fraction form
    9,423.84/14,136.12 = 2,498.40/x
  3. Step 3: Cross multiply
    9,423.84x = 14,136.12 × 2,498.40
  4. Step 4: Simplify right side
    9,423.84x = 35,317,682.21
  5. Step 5: Solve for x
    x = 35,317,682.21/9,423.84
  6. Step 6: Final answer
    x = 3,747.70

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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.