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Finding the Fourth Proportional to 9,790.53, 13,510.56 and 5,314.18

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Solution

The fourth proportional to 9,790.53, 13,510.56 and 5,314.18 is: 7,333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.53 : 13,510.56 = 5,314.18 : x
  2. Step 2: Convert to fraction form
    9,790.53/13,510.56 = 5,314.18/x
  3. Step 3: Cross multiply
    9,790.53x = 13,510.56 × 5,314.18
  4. Step 4: Simplify right side
    9,790.53x = 71,797,564.63
  5. Step 5: Solve for x
    x = 71,797,564.63/9,790.53
  6. Step 6: Final answer
    x = 7,333.37

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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.