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Finding the Fourth Proportional to 6,905.91, 9,527.12 and 4,666.97

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Solution

The fourth proportional to 6,905.91, 9,527.12 and 4,666.97 is: 6,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.91 : 9,527.12 = 4,666.97 : x
  2. Step 2: Convert to fraction form
    6,905.91/9,527.12 = 4,666.97/x
  3. Step 3: Cross multiply
    6,905.91x = 9,527.12 × 4,666.97
  4. Step 4: Simplify right side
    6,905.91x = 44,462,783.23
  5. Step 5: Solve for x
    x = 44,462,783.23/6,905.91
  6. Step 6: Final answer
    x = 6,438.37

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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.