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Finding the Fourth Proportional to 9,254.63, 13,859.70 and 5,293.88

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Solution

The fourth proportional to 9,254.63, 13,859.70 and 5,293.88 is: 7,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.63 : 13,859.70 = 5,293.88 : x
  2. Step 2: Convert to fraction form
    9,254.63/13,859.70 = 5,293.88/x
  3. Step 3: Cross multiply
    9,254.63x = 13,859.70 × 5,293.88
  4. Step 4: Simplify right side
    9,254.63x = 73,371,588.64
  5. Step 5: Solve for x
    x = 73,371,588.64/9,254.63
  6. Step 6: Final answer
    x = 7,928.10

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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.