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Finding the Fourth Proportional to 29,135.74, 43,692.63 and 9,409

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Solution

The fourth proportional to 29,135.74, 43,692.63 and 9,409 is: 14,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,135.74 : 43,692.63 = 9,409 : x
  2. Step 2: Convert to fraction form
    29,135.74/43,692.63 = 9,409/x
  3. Step 3: Cross multiply
    29,135.74x = 43,692.63 × 9,409
  4. Step 4: Simplify right side
    29,135.74x = 411,103,955.67
  5. Step 5: Solve for x
    x = 411,103,955.67/29,135.74
  6. Step 6: Final answer
    x = 14,109.95

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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.