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Finding the Fourth Proportional to 9,338.76, 14,004 and 4,955.22

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Solution

The fourth proportional to 9,338.76, 14,004 and 4,955.22 is: 7,430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.76 : 14,004 = 4,955.22 : x
  2. Step 2: Convert to fraction form
    9,338.76/14,004 = 4,955.22/x
  3. Step 3: Cross multiply
    9,338.76x = 14,004 × 4,955.22
  4. Step 4: Simplify right side
    9,338.76x = 69,392,900.88
  5. Step 5: Solve for x
    x = 69,392,900.88/9,338.76
  6. Step 6: Final answer
    x = 7,430.63

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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.