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Finding the Fourth Proportional to 9,483.35, 14,204.51 and 6,186.43

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Solution

The fourth proportional to 9,483.35, 14,204.51 and 6,186.43 is: 9,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.35 : 14,204.51 = 6,186.43 : x
  2. Step 2: Convert to fraction form
    9,483.35/14,204.51 = 6,186.43/x
  3. Step 3: Cross multiply
    9,483.35x = 14,204.51 × 6,186.43
  4. Step 4: Simplify right side
    9,483.35x = 87,875,104.84
  5. Step 5: Solve for x
    x = 87,875,104.84/9,483.35
  6. Step 6: Final answer
    x = 9,266.25

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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.