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Finding the Fourth Proportional to 9,766.04, 14,646.06 and 3,525.29

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Solution

The fourth proportional to 9,766.04, 14,646.06 and 3,525.29 is: 5,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.04 : 14,646.06 = 3,525.29 : x
  2. Step 2: Convert to fraction form
    9,766.04/14,646.06 = 3,525.29/x
  3. Step 3: Cross multiply
    9,766.04x = 14,646.06 × 3,525.29
  4. Step 4: Simplify right side
    9,766.04x = 51,631,535.63
  5. Step 5: Solve for x
    x = 51,631,535.63/9,766.04
  6. Step 6: Final answer
    x = 5,286.85

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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.