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Finding the Fourth Proportional to 9,496.16, 14,247.28 and 4,566.16

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Solution

The fourth proportional to 9,496.16, 14,247.28 and 4,566.16 is: 6,850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.16 : 14,247.28 = 4,566.16 : x
  2. Step 2: Convert to fraction form
    9,496.16/14,247.28 = 4,566.16/x
  3. Step 3: Cross multiply
    9,496.16x = 14,247.28 × 4,566.16
  4. Step 4: Simplify right side
    9,496.16x = 65,055,360.04
  5. Step 5: Solve for x
    x = 65,055,360.04/9,496.16
  6. Step 6: Final answer
    x = 6,850.70

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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.