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Finding the Fourth Proportional to 9,751.84, 14,631.14 and 7,085.92

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Solution

The fourth proportional to 9,751.84, 14,631.14 and 7,085.92 is: 10,631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.84 : 14,631.14 = 7,085.92 : x
  2. Step 2: Convert to fraction form
    9,751.84/14,631.14 = 7,085.92/x
  3. Step 3: Cross multiply
    9,751.84x = 14,631.14 × 7,085.92
  4. Step 4: Simplify right side
    9,751.84x = 103,675,087.55
  5. Step 5: Solve for x
    x = 103,675,087.55/9,751.84
  6. Step 6: Final answer
    x = 10,631.34

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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.