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Finding the Fourth Proportional to 9,697.06, 14,523.72 and 4,492

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Solution

The fourth proportional to 9,697.06, 14,523.72 and 4,492 is: 6,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.06 : 14,523.72 = 4,492 : x
  2. Step 2: Convert to fraction form
    9,697.06/14,523.72 = 4,492/x
  3. Step 3: Cross multiply
    9,697.06x = 14,523.72 × 4,492
  4. Step 4: Simplify right side
    9,697.06x = 65,240,550.24
  5. Step 5: Solve for x
    x = 65,240,550.24/9,697.06
  6. Step 6: Final answer
    x = 6,727.87

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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.