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Finding the Fourth Proportional to 9,197.17, 12,705.02 and 8,202.13

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Solution

The fourth proportional to 9,197.17, 12,705.02 and 8,202.13 is: 11,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.17 : 12,705.02 = 8,202.13 : x
  2. Step 2: Convert to fraction form
    9,197.17/12,705.02 = 8,202.13/x
  3. Step 3: Cross multiply
    9,197.17x = 12,705.02 × 8,202.13
  4. Step 4: Simplify right side
    9,197.17x = 104,208,225.69
  5. Step 5: Solve for x
    x = 104,208,225.69/9,197.17
  6. Step 6: Final answer
    x = 11,330.47

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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.