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Finding the Fourth Proportional to 9,911.44, 14,867.34 and 4,645

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Solution

The fourth proportional to 9,911.44, 14,867.34 and 4,645 is: 6,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.44 : 14,867.34 = 4,645 : x
  2. Step 2: Convert to fraction form
    9,911.44/14,867.34 = 4,645/x
  3. Step 3: Cross multiply
    9,911.44x = 14,867.34 × 4,645
  4. Step 4: Simplify right side
    9,911.44x = 69,058,794.30
  5. Step 5: Solve for x
    x = 69,058,794.30/9,911.44
  6. Step 6: Final answer
    x = 6,967.58

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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.