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Finding the Fourth Proportional to 9,348.41, 14,008.28 and 6,997.38

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Solution

The fourth proportional to 9,348.41, 14,008.28 and 6,997.38 is: 10,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.41 : 14,008.28 = 6,997.38 : x
  2. Step 2: Convert to fraction form
    9,348.41/14,008.28 = 6,997.38/x
  3. Step 3: Cross multiply
    9,348.41x = 14,008.28 × 6,997.38
  4. Step 4: Simplify right side
    9,348.41x = 98,021,223.32
  5. Step 5: Solve for x
    x = 98,021,223.32/9,348.41
  6. Step 6: Final answer
    x = 10,485.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.