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Finding the Fourth Proportional to 9,417.91, 14,183.26 and 8,577.16

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Solution

The fourth proportional to 9,417.91, 14,183.26 and 8,577.16 is: 12,917.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.91 : 14,183.26 = 8,577.16 : x
  2. Step 2: Convert to fraction form
    9,417.91/14,183.26 = 8,577.16/x
  3. Step 3: Cross multiply
    9,417.91x = 14,183.26 × 8,577.16
  4. Step 4: Simplify right side
    9,417.91x = 121,652,051.59
  5. Step 5: Solve for x
    x = 121,652,051.59/9,417.91
  6. Step 6: Final answer
    x = 12,917.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.