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Finding the Fourth Proportional to 10,150.94, 13,992.42 and 9,336.32

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Solution

The fourth proportional to 10,150.94, 13,992.42 and 9,336.32 is: 12,869.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150.94 : 13,992.42 = 9,336.32 : x
  2. Step 2: Convert to fraction form
    10,150.94/13,992.42 = 9,336.32/x
  3. Step 3: Cross multiply
    10,150.94x = 13,992.42 × 9,336.32
  4. Step 4: Simplify right side
    10,150.94x = 130,637,710.69
  5. Step 5: Solve for x
    x = 130,637,710.69/10,150.94
  6. Step 6: Final answer
    x = 12,869.52

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