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Finding the Fourth Proportional to 9,992.84, 14,968.74 and 4,732.70

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Solution

The fourth proportional to 9,992.84, 14,968.74 and 4,732.70 is: 7,089.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.84 : 14,968.74 = 4,732.70 : x
  2. Step 2: Convert to fraction form
    9,992.84/14,968.74 = 4,732.70/x
  3. Step 3: Cross multiply
    9,992.84x = 14,968.74 × 4,732.70
  4. Step 4: Simplify right side
    9,992.84x = 70,842,555.80
  5. Step 5: Solve for x
    x = 70,842,555.80/9,992.84
  6. Step 6: Final answer
    x = 7,089.33

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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.