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Finding the Fourth Proportional to 9,946.78, 14,887.71 and 7,313.59

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Solution

The fourth proportional to 9,946.78, 14,887.71 and 7,313.59 is: 10,946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.78 : 14,887.71 = 7,313.59 : x
  2. Step 2: Convert to fraction form
    9,946.78/14,887.71 = 7,313.59/x
  3. Step 3: Cross multiply
    9,946.78x = 14,887.71 × 7,313.59
  4. Step 4: Simplify right side
    9,946.78x = 108,882,606.98
  5. Step 5: Solve for x
    x = 108,882,606.98/9,946.78
  6. Step 6: Final answer
    x = 10,946.52

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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.