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Finding the Fourth Proportional to 11,837.94, 16,337.88 and 9,845.07

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Solution

The fourth proportional to 11,837.94, 16,337.88 and 9,845.07 is: 13,587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.94 : 16,337.88 = 9,845.07 : x
  2. Step 2: Convert to fraction form
    11,837.94/16,337.88 = 9,845.07/x
  3. Step 3: Cross multiply
    11,837.94x = 16,337.88 × 9,845.07
  4. Step 4: Simplify right side
    11,837.94x = 160,847,572.25
  5. Step 5: Solve for x
    x = 160,847,572.25/11,837.94
  6. Step 6: Final answer
    x = 13,587.46

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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.