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Finding the Fourth Proportional to 9,395, 14,099.48 and 3,477.40

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Solution

The fourth proportional to 9,395, 14,099.48 and 3,477.40 is: 5,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395 : 14,099.48 = 3,477.40 : x
  2. Step 2: Convert to fraction form
    9,395/14,099.48 = 3,477.40/x
  3. Step 3: Cross multiply
    9,395x = 14,099.48 × 3,477.40
  4. Step 4: Simplify right side
    9,395x = 49,029,531.75
  5. Step 5: Solve for x
    x = 49,029,531.75/9,395
  6. Step 6: Final answer
    x = 5,218.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.