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Finding the Fourth Proportional to 9,927.28, 13,700.34 and 6,564.25

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Solution

The fourth proportional to 9,927.28, 13,700.34 and 6,564.25 is: 9,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.28 : 13,700.34 = 6,564.25 : x
  2. Step 2: Convert to fraction form
    9,927.28/13,700.34 = 6,564.25/x
  3. Step 3: Cross multiply
    9,927.28x = 13,700.34 × 6,564.25
  4. Step 4: Simplify right side
    9,927.28x = 89,932,388.34
  5. Step 5: Solve for x
    x = 89,932,388.34/9,927.28
  6. Step 6: Final answer
    x = 9,059.12

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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.