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Finding the Fourth Proportional to 9,857.42, 13,599.74 and 6,322.58

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Solution

The fourth proportional to 9,857.42, 13,599.74 and 6,322.58 is: 8,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.42 : 13,599.74 = 6,322.58 : x
  2. Step 2: Convert to fraction form
    9,857.42/13,599.74 = 6,322.58/x
  3. Step 3: Cross multiply
    9,857.42x = 13,599.74 × 6,322.58
  4. Step 4: Simplify right side
    9,857.42x = 85,985,344.52
  5. Step 5: Solve for x
    x = 85,985,344.52/9,857.42
  6. Step 6: Final answer
    x = 8,722.91

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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.