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Finding the Fourth Proportional to 9,770.64, 14,646.95 and 3,529.17

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Solution

The fourth proportional to 9,770.64, 14,646.95 and 3,529.17 is: 5,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.64 : 14,646.95 = 3,529.17 : x
  2. Step 2: Convert to fraction form
    9,770.64/14,646.95 = 3,529.17/x
  3. Step 3: Cross multiply
    9,770.64x = 14,646.95 × 3,529.17
  4. Step 4: Simplify right side
    9,770.64x = 51,691,558.89
  5. Step 5: Solve for x
    x = 51,691,558.89/9,770.64
  6. Step 6: Final answer
    x = 5,290.50

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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.