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Finding the Fourth Proportional to 9,393.84, 14,090.76 and 4,199.04

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Solution

The fourth proportional to 9,393.84, 14,090.76 and 4,199.04 is: 6,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.84 : 14,090.76 = 4,199.04 : x
  2. Step 2: Convert to fraction form
    9,393.84/14,090.76 = 4,199.04/x
  3. Step 3: Cross multiply
    9,393.84x = 14,090.76 × 4,199.04
  4. Step 4: Simplify right side
    9,393.84x = 59,167,664.87
  5. Step 5: Solve for x
    x = 59,167,664.87/9,393.84
  6. Step 6: Final answer
    x = 6,298.56

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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.