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Finding the Fourth Proportional to 9,535.78, 14,300.16 and 3,294.19

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Solution

The fourth proportional to 9,535.78, 14,300.16 and 3,294.19 is: 4,940.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.78 : 14,300.16 = 3,294.19 : x
  2. Step 2: Convert to fraction form
    9,535.78/14,300.16 = 3,294.19/x
  3. Step 3: Cross multiply
    9,535.78x = 14,300.16 × 3,294.19
  4. Step 4: Simplify right side
    9,535.78x = 47,107,488.06
  5. Step 5: Solve for x
    x = 47,107,488.06/9,535.78
  6. Step 6: Final answer
    x = 4,940.08

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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.