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Finding the Fourth Proportional to 9,165.64, 13,748.48 and 5,267.56

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Solution

The fourth proportional to 9,165.64, 13,748.48 and 5,267.56 is: 7,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.64 : 13,748.48 = 5,267.56 : x
  2. Step 2: Convert to fraction form
    9,165.64/13,748.48 = 5,267.56/x
  3. Step 3: Cross multiply
    9,165.64x = 13,748.48 × 5,267.56
  4. Step 4: Simplify right side
    9,165.64x = 72,420,943.31
  5. Step 5: Solve for x
    x = 72,420,943.31/9,165.64
  6. Step 6: Final answer
    x = 7,901.35

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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.