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Finding the Fourth Proportional to 6,215.58, 9,323.34 and 1,833.08

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Solution

The fourth proportional to 6,215.58, 9,323.34 and 1,833.08 is: 2,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.58 : 9,323.34 = 1,833.08 : x
  2. Step 2: Convert to fraction form
    6,215.58/9,323.34 = 1,833.08/x
  3. Step 3: Cross multiply
    6,215.58x = 9,323.34 × 1,833.08
  4. Step 4: Simplify right side
    6,215.58x = 17,090,381.47
  5. Step 5: Solve for x
    x = 17,090,381.47/6,215.58
  6. Step 6: Final answer
    x = 2,749.60

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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.