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Finding the Fourth Proportional to 9,253.56, 13,929.87 and 8,301

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Solution

The fourth proportional to 9,253.56, 13,929.87 and 8,301 is: 12,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.56 : 13,929.87 = 8,301 : x
  2. Step 2: Convert to fraction form
    9,253.56/13,929.87 = 8,301/x
  3. Step 3: Cross multiply
    9,253.56x = 13,929.87 × 8,301
  4. Step 4: Simplify right side
    9,253.56x = 115,631,850.87
  5. Step 5: Solve for x
    x = 115,631,850.87/9,253.56
  6. Step 6: Final answer
    x = 12,495.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.