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Finding the Fourth Proportional to 9,424.99, 13,009.98 and 8,093.35

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Solution

The fourth proportional to 9,424.99, 13,009.98 and 8,093.35 is: 11,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.99 : 13,009.98 = 8,093.35 : x
  2. Step 2: Convert to fraction form
    9,424.99/13,009.98 = 8,093.35/x
  3. Step 3: Cross multiply
    9,424.99x = 13,009.98 × 8,093.35
  4. Step 4: Simplify right side
    9,424.99x = 105,294,321.63
  5. Step 5: Solve for x
    x = 105,294,321.63/9,424.99
  6. Step 6: Final answer
    x = 11,171.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.