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Finding the Fourth Proportional to 10,361.46, 14,294.54 and 7,219.47

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Solution

The fourth proportional to 10,361.46, 14,294.54 and 7,219.47 is: 9,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.46 : 14,294.54 = 7,219.47 : x
  2. Step 2: Convert to fraction form
    10,361.46/14,294.54 = 7,219.47/x
  3. Step 3: Cross multiply
    10,361.46x = 14,294.54 × 7,219.47
  4. Step 4: Simplify right side
    10,361.46x = 103,198,966.60
  5. Step 5: Solve for x
    x = 103,198,966.60/10,361.46
  6. Step 6: Final answer
    x = 9,959.89

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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.