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Finding the Fourth Proportional to 7,040.94, 9,706.14 and 5,359.42

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Solution

The fourth proportional to 7,040.94, 9,706.14 and 5,359.42 is: 7,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.94 : 9,706.14 = 5,359.42 : x
  2. Step 2: Convert to fraction form
    7,040.94/9,706.14 = 5,359.42/x
  3. Step 3: Cross multiply
    7,040.94x = 9,706.14 × 5,359.42
  4. Step 4: Simplify right side
    7,040.94x = 52,019,280.84
  5. Step 5: Solve for x
    x = 52,019,280.84/7,040.94
  6. Step 6: Final answer
    x = 7,388.12

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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.