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Finding the Fourth Proportional to 9,416.08, 12,993.54 and 5,224

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Solution

The fourth proportional to 9,416.08, 12,993.54 and 5,224 is: 7,208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.08 : 12,993.54 = 5,224 : x
  2. Step 2: Convert to fraction form
    9,416.08/12,993.54 = 5,224/x
  3. Step 3: Cross multiply
    9,416.08x = 12,993.54 × 5,224
  4. Step 4: Simplify right side
    9,416.08x = 67,878,252.96
  5. Step 5: Solve for x
    x = 67,878,252.96/9,416.08
  6. Step 6: Final answer
    x = 7,208.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.