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Finding the Fourth Proportional to 9,535.65, 14,303.37 and 3,912.06

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Solution

The fourth proportional to 9,535.65, 14,303.37 and 3,912.06 is: 5,868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.65 : 14,303.37 = 3,912.06 : x
  2. Step 2: Convert to fraction form
    9,535.65/14,303.37 = 3,912.06/x
  3. Step 3: Cross multiply
    9,535.65x = 14,303.37 × 3,912.06
  4. Step 4: Simplify right side
    9,535.65x = 55,955,641.64
  5. Step 5: Solve for x
    x = 55,955,641.64/9,535.65
  6. Step 6: Final answer
    x = 5,868.05

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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.