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Finding the Fourth Proportional to 9,196.16, 13,848.34 and 6,617.12

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Solution

The fourth proportional to 9,196.16, 13,848.34 and 6,617.12 is: 9,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.16 : 13,848.34 = 6,617.12 : x
  2. Step 2: Convert to fraction form
    9,196.16/13,848.34 = 6,617.12/x
  3. Step 3: Cross multiply
    9,196.16x = 13,848.34 × 6,617.12
  4. Step 4: Simplify right side
    9,196.16x = 91,636,127.58
  5. Step 5: Solve for x
    x = 91,636,127.58/9,196.16
  6. Step 6: Final answer
    x = 9,964.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.