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Finding the Fourth Proportional to 9,274.66, 13,896.69 and 6,810.46

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Solution

The fourth proportional to 9,274.66, 13,896.69 and 6,810.46 is: 10,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.66 : 13,896.69 = 6,810.46 : x
  2. Step 2: Convert to fraction form
    9,274.66/13,896.69 = 6,810.46/x
  3. Step 3: Cross multiply
    9,274.66x = 13,896.69 × 6,810.46
  4. Step 4: Simplify right side
    9,274.66x = 94,642,851.38
  5. Step 5: Solve for x
    x = 94,642,851.38/9,274.66
  6. Step 6: Final answer
    x = 10,204.46

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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.