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Finding the Fourth Proportional to 9,836.39, 14,761.93 and 5,670.84

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Solution

The fourth proportional to 9,836.39, 14,761.93 and 5,670.84 is: 8,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.39 : 14,761.93 = 5,670.84 : x
  2. Step 2: Convert to fraction form
    9,836.39/14,761.93 = 5,670.84/x
  3. Step 3: Cross multiply
    9,836.39x = 14,761.93 × 5,670.84
  4. Step 4: Simplify right side
    9,836.39x = 83,712,469.31
  5. Step 5: Solve for x
    x = 83,712,469.31/9,836.39
  6. Step 6: Final answer
    x = 8,510.49

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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.