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Finding the Fourth Proportional to 9,364.49, 14,038.05 and 3,524.97

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Solution

The fourth proportional to 9,364.49, 14,038.05 and 3,524.97 is: 5,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.49 : 14,038.05 = 3,524.97 : x
  2. Step 2: Convert to fraction form
    9,364.49/14,038.05 = 3,524.97/x
  3. Step 3: Cross multiply
    9,364.49x = 14,038.05 × 3,524.97
  4. Step 4: Simplify right side
    9,364.49x = 49,483,705.11
  5. Step 5: Solve for x
    x = 49,483,705.11/9,364.49
  6. Step 6: Final answer
    x = 5,284.19

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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.