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Finding the Fourth Proportional to 9,832.83, 13,569.54 and 5,356.82

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Solution

The fourth proportional to 9,832.83, 13,569.54 and 5,356.82 is: 7,392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.83 : 13,569.54 = 5,356.82 : x
  2. Step 2: Convert to fraction form
    9,832.83/13,569.54 = 5,356.82/x
  3. Step 3: Cross multiply
    9,832.83x = 13,569.54 × 5,356.82
  4. Step 4: Simplify right side
    9,832.83x = 72,689,515.42
  5. Step 5: Solve for x
    x = 72,689,515.42/9,832.83
  6. Step 6: Final answer
    x = 7,392.53

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