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Finding the Fourth Proportional to 9,790.34, 13,510.28 and 5,313.94

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Solution

The fourth proportional to 9,790.34, 13,510.28 and 5,313.94 is: 7,333.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.34 : 13,510.28 = 5,313.94 : x
  2. Step 2: Convert to fraction form
    9,790.34/13,510.28 = 5,313.94/x
  3. Step 3: Cross multiply
    9,790.34x = 13,510.28 × 5,313.94
  4. Step 4: Simplify right side
    9,790.34x = 71,792,817.30
  5. Step 5: Solve for x
    x = 71,792,817.30/9,790.34
  6. Step 6: Final answer
    x = 7,333.03

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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.