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Finding the Fourth Proportional to 9,262.15, 13,893.19 and 5,100.01

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Solution

The fourth proportional to 9,262.15, 13,893.19 and 5,100.01 is: 7,650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.15 : 13,893.19 = 5,100.01 : x
  2. Step 2: Convert to fraction form
    9,262.15/13,893.19 = 5,100.01/x
  3. Step 3: Cross multiply
    9,262.15x = 13,893.19 × 5,100.01
  4. Step 4: Simplify right side
    9,262.15x = 70,855,407.93
  5. Step 5: Solve for x
    x = 70,855,407.93/9,262.15
  6. Step 6: Final answer
    x = 7,650.00

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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.