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Finding the Fourth Proportional to 9,836.84, 14,760.66 and 4,642.58

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Solution

The fourth proportional to 9,836.84, 14,760.66 and 4,642.58 is: 6,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.84 : 14,760.66 = 4,642.58 : x
  2. Step 2: Convert to fraction form
    9,836.84/14,760.66 = 4,642.58/x
  3. Step 3: Cross multiply
    9,836.84x = 14,760.66 × 4,642.58
  4. Step 4: Simplify right side
    9,836.84x = 68,527,544.90
  5. Step 5: Solve for x
    x = 68,527,544.90/9,836.84
  6. Step 6: Final answer
    x = 6,966.42

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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.