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Finding the Fourth Proportional to 9,686.94, 14,530.41 and 3,529.50

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Solution

The fourth proportional to 9,686.94, 14,530.41 and 3,529.50 is: 5,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.94 : 14,530.41 = 3,529.50 : x
  2. Step 2: Convert to fraction form
    9,686.94/14,530.41 = 3,529.50/x
  3. Step 3: Cross multiply
    9,686.94x = 14,530.41 × 3,529.50
  4. Step 4: Simplify right side
    9,686.94x = 51,285,082.10
  5. Step 5: Solve for x
    x = 51,285,082.10/9,686.94
  6. Step 6: Final answer
    x = 5,294.25

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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.