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Finding the Fourth Proportional to 9,254.07, 13,881.09 and 3,098.07

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Solution

The fourth proportional to 9,254.07, 13,881.09 and 3,098.07 is: 4,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.07 : 13,881.09 = 3,098.07 : x
  2. Step 2: Convert to fraction form
    9,254.07/13,881.09 = 3,098.07/x
  3. Step 3: Cross multiply
    9,254.07x = 13,881.09 × 3,098.07
  4. Step 4: Simplify right side
    9,254.07x = 43,004,588.50
  5. Step 5: Solve for x
    x = 43,004,588.50/9,254.07
  6. Step 6: Final answer
    x = 4,647.10

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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.