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Finding the Fourth Proportional to 9,334.88, 14,003 and 3,094.64

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Solution

The fourth proportional to 9,334.88, 14,003 and 3,094.64 is: 4,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.88 : 14,003 = 3,094.64 : x
  2. Step 2: Convert to fraction form
    9,334.88/14,003 = 3,094.64/x
  3. Step 3: Cross multiply
    9,334.88x = 14,003 × 3,094.64
  4. Step 4: Simplify right side
    9,334.88x = 43,334,243.92
  5. Step 5: Solve for x
    x = 43,334,243.92/9,334.88
  6. Step 6: Final answer
    x = 4,642.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.