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Finding the Fourth Proportional to 9,557.35, 13,184.43 and 8,296.72

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Solution

The fourth proportional to 9,557.35, 13,184.43 and 8,296.72 is: 11,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.35 : 13,184.43 = 8,296.72 : x
  2. Step 2: Convert to fraction form
    9,557.35/13,184.43 = 8,296.72/x
  3. Step 3: Cross multiply
    9,557.35x = 13,184.43 × 8,296.72
  4. Step 4: Simplify right side
    9,557.35x = 109,387,524.07
  5. Step 5: Solve for x
    x = 109,387,524.07/9,557.35
  6. Step 6: Final answer
    x = 11,445.38

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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.