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Finding the Fourth Proportional to 9,934.95, 14,902.42 and 2,539.40

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Solution

The fourth proportional to 9,934.95, 14,902.42 and 2,539.40 is: 3,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.95 : 14,902.42 = 2,539.40 : x
  2. Step 2: Convert to fraction form
    9,934.95/14,902.42 = 2,539.40/x
  3. Step 3: Cross multiply
    9,934.95x = 14,902.42 × 2,539.40
  4. Step 4: Simplify right side
    9,934.95x = 37,843,130.84
  5. Step 5: Solve for x
    x = 37,843,130.84/9,934.95
  6. Step 6: Final answer
    x = 3,809.09

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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.