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Finding the Fourth Proportional to 9,859.20, 13,597.98 and 6,322.74

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Solution

The fourth proportional to 9,859.20, 13,597.98 and 6,322.74 is: 8,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.20 : 13,597.98 = 6,322.74 : x
  2. Step 2: Convert to fraction form
    9,859.20/13,597.98 = 6,322.74/x
  3. Step 3: Cross multiply
    9,859.20x = 13,597.98 × 6,322.74
  4. Step 4: Simplify right side
    9,859.20x = 85,976,492.07
  5. Step 5: Solve for x
    x = 85,976,492.07/9,859.20
  6. Step 6: Final answer
    x = 8,720.43

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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.