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Finding the Fourth Proportional to 9,357.08, 14,030.46 and 3,809

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Solution

The fourth proportional to 9,357.08, 14,030.46 and 3,809 is: 5,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.08 : 14,030.46 = 3,809 : x
  2. Step 2: Convert to fraction form
    9,357.08/14,030.46 = 3,809/x
  3. Step 3: Cross multiply
    9,357.08x = 14,030.46 × 3,809
  4. Step 4: Simplify right side
    9,357.08x = 53,442,022.14
  5. Step 5: Solve for x
    x = 53,442,022.14/9,357.08
  6. Step 6: Final answer
    x = 5,711.40

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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.