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Finding the Fourth Proportional to 9,710.61, 13,400.21 and 5,940.10

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Solution

The fourth proportional to 9,710.61, 13,400.21 and 5,940.10 is: 8,197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.61 : 13,400.21 = 5,940.10 : x
  2. Step 2: Convert to fraction form
    9,710.61/13,400.21 = 5,940.10/x
  3. Step 3: Cross multiply
    9,710.61x = 13,400.21 × 5,940.10
  4. Step 4: Simplify right side
    9,710.61x = 79,598,557.72
  5. Step 5: Solve for x
    x = 79,598,557.72/9,710.61
  6. Step 6: Final answer
    x = 8,197.08

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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.