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Finding the Fourth Proportional to 9,185.40, 13,767.16 and 6,396.98

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Solution

The fourth proportional to 9,185.40, 13,767.16 and 6,396.98 is: 9,587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.40 : 13,767.16 = 6,396.98 : x
  2. Step 2: Convert to fraction form
    9,185.40/13,767.16 = 6,396.98/x
  3. Step 3: Cross multiply
    9,185.40x = 13,767.16 × 6,396.98
  4. Step 4: Simplify right side
    9,185.40x = 88,068,178.34
  5. Step 5: Solve for x
    x = 88,068,178.34/9,185.40
  6. Step 6: Final answer
    x = 9,587.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.