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Finding the Fourth Proportional to 9,751.43, 14,635.35 and 4,208.92

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Solution

The fourth proportional to 9,751.43, 14,635.35 and 4,208.92 is: 6,316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.43 : 14,635.35 = 4,208.92 : x
  2. Step 2: Convert to fraction form
    9,751.43/14,635.35 = 4,208.92/x
  3. Step 3: Cross multiply
    9,751.43x = 14,635.35 × 4,208.92
  4. Step 4: Simplify right side
    9,751.43x = 61,598,980.73
  5. Step 5: Solve for x
    x = 61,598,980.73/9,751.43
  6. Step 6: Final answer
    x = 6,316.92

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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.