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Finding the Fourth Proportional to 9,293.13, 13,928.90 and 3,446.01

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Solution

The fourth proportional to 9,293.13, 13,928.90 and 3,446.01 is: 5,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.13 : 13,928.90 = 3,446.01 : x
  2. Step 2: Convert to fraction form
    9,293.13/13,928.90 = 3,446.01/x
  3. Step 3: Cross multiply
    9,293.13x = 13,928.90 × 3,446.01
  4. Step 4: Simplify right side
    9,293.13x = 47,999,111.46
  5. Step 5: Solve for x
    x = 47,999,111.46/9,293.13
  6. Step 6: Final answer
    x = 5,165.01

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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.