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Finding the Fourth Proportional to 9,303.99, 13,952.34 and 3,458.76

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Solution

The fourth proportional to 9,303.99, 13,952.34 and 3,458.76 is: 5,186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.99 : 13,952.34 = 3,458.76 : x
  2. Step 2: Convert to fraction form
    9,303.99/13,952.34 = 3,458.76/x
  3. Step 3: Cross multiply
    9,303.99x = 13,952.34 × 3,458.76
  4. Step 4: Simplify right side
    9,303.99x = 48,257,795.50
  5. Step 5: Solve for x
    x = 48,257,795.50/9,303.99
  6. Step 6: Final answer
    x = 5,186.78

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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.