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Finding the Fourth Proportional to 9,790.84, 13,510.97 and 5,314.44

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Solution

The fourth proportional to 9,790.84, 13,510.97 and 5,314.44 is: 7,333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.84 : 13,510.97 = 5,314.44 : x
  2. Step 2: Convert to fraction form
    9,790.84/13,510.97 = 5,314.44/x
  3. Step 3: Cross multiply
    9,790.84x = 13,510.97 × 5,314.44
  4. Step 4: Simplify right side
    9,790.84x = 71,803,239.41
  5. Step 5: Solve for x
    x = 71,803,239.41/9,790.84
  6. Step 6: Final answer
    x = 7,333.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.