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Finding the Fourth Proportional to 9,130.50, 13,696.62 and 4,201.53

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Solution

The fourth proportional to 9,130.50, 13,696.62 and 4,201.53 is: 6,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.50 : 13,696.62 = 4,201.53 : x
  2. Step 2: Convert to fraction form
    9,130.50/13,696.62 = 4,201.53/x
  3. Step 3: Cross multiply
    9,130.50x = 13,696.62 × 4,201.53
  4. Step 4: Simplify right side
    9,130.50x = 57,546,759.83
  5. Step 5: Solve for x
    x = 57,546,759.83/9,130.50
  6. Step 6: Final answer
    x = 6,302.70

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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.