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Finding the Fourth Proportional to 9,663.24, 14,560.68 and 7,946.70

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Solution

The fourth proportional to 9,663.24, 14,560.68 and 7,946.70 is: 11,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.24 : 14,560.68 = 7,946.70 : x
  2. Step 2: Convert to fraction form
    9,663.24/14,560.68 = 7,946.70/x
  3. Step 3: Cross multiply
    9,663.24x = 14,560.68 × 7,946.70
  4. Step 4: Simplify right side
    9,663.24x = 115,709,355.76
  5. Step 5: Solve for x
    x = 115,709,355.76/9,663.24
  6. Step 6: Final answer
    x = 11,974.18

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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.