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Finding the Fourth Proportional to 9,295.13, 13,931.89 and 3,448.01

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Solution

The fourth proportional to 9,295.13, 13,931.89 and 3,448.01 is: 5,168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.13 : 13,931.89 = 3,448.01 : x
  2. Step 2: Convert to fraction form
    9,295.13/13,931.89 = 3,448.01/x
  3. Step 3: Cross multiply
    9,295.13x = 13,931.89 × 3,448.01
  4. Step 4: Simplify right side
    9,295.13x = 48,037,296.04
  5. Step 5: Solve for x
    x = 48,037,296.04/9,295.13
  6. Step 6: Final answer
    x = 5,168.01

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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.