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Finding the Fourth Proportional to 10,386.36, 14,333.76 and 6,194.88

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Solution

The fourth proportional to 10,386.36, 14,333.76 and 6,194.88 is: 8,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.36 : 14,333.76 = 6,194.88 : x
  2. Step 2: Convert to fraction form
    10,386.36/14,333.76 = 6,194.88/x
  3. Step 3: Cross multiply
    10,386.36x = 14,333.76 × 6,194.88
  4. Step 4: Simplify right side
    10,386.36x = 88,795,923.15
  5. Step 5: Solve for x
    x = 88,795,923.15/10,386.36
  6. Step 6: Final answer
    x = 8,549.28

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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.