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Finding the Fourth Proportional to 9,534.92, 14,296.91 and 2,959.34

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Solution

The fourth proportional to 9,534.92, 14,296.91 and 2,959.34 is: 4,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.92 : 14,296.91 = 2,959.34 : x
  2. Step 2: Convert to fraction form
    9,534.92/14,296.91 = 2,959.34/x
  3. Step 3: Cross multiply
    9,534.92x = 14,296.91 × 2,959.34
  4. Step 4: Simplify right side
    9,534.92x = 42,309,331.36
  5. Step 5: Solve for x
    x = 42,309,331.36/9,534.92
  6. Step 6: Final answer
    x = 4,437.31

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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.