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Finding the Fourth Proportional to 9,830.84, 14,711.61 and 6,134.81

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Solution

The fourth proportional to 9,830.84, 14,711.61 and 6,134.81 is: 9,180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.84 : 14,711.61 = 6,134.81 : x
  2. Step 2: Convert to fraction form
    9,830.84/14,711.61 = 6,134.81/x
  3. Step 3: Cross multiply
    9,830.84x = 14,711.61 × 6,134.81
  4. Step 4: Simplify right side
    9,830.84x = 90,252,932.14
  5. Step 5: Solve for x
    x = 90,252,932.14/9,830.84
  6. Step 6: Final answer
    x = 9,180.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.