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Finding the Fourth Proportional to 9,906.24, 13,670.88 and 7,116.96

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Solution

The fourth proportional to 9,906.24, 13,670.88 and 7,116.96 is: 9,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.24 : 13,670.88 = 7,116.96 : x
  2. Step 2: Convert to fraction form
    9,906.24/13,670.88 = 7,116.96/x
  3. Step 3: Cross multiply
    9,906.24x = 13,670.88 × 7,116.96
  4. Step 4: Simplify right side
    9,906.24x = 97,295,106.12
  5. Step 5: Solve for x
    x = 97,295,106.12/9,906.24
  6. Step 6: Final answer
    x = 9,821.60

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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.