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Finding the Fourth Proportional to 9,694.81, 14,513.51 and 5,985.11

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Solution

The fourth proportional to 9,694.81, 14,513.51 and 5,985.11 is: 8,959.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.81 : 14,513.51 = 5,985.11 : x
  2. Step 2: Convert to fraction form
    9,694.81/14,513.51 = 5,985.11/x
  3. Step 3: Cross multiply
    9,694.81x = 14,513.51 × 5,985.11
  4. Step 4: Simplify right side
    9,694.81x = 86,864,953.84
  5. Step 5: Solve for x
    x = 86,864,953.84/9,694.81
  6. Step 6: Final answer
    x = 8,959.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.