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Finding the Fourth Proportional to 6,244.30, 9,364.74 and 2,346.58

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Solution

The fourth proportional to 6,244.30, 9,364.74 and 2,346.58 is: 3,519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.30 : 9,364.74 = 2,346.58 : x
  2. Step 2: Convert to fraction form
    6,244.30/9,364.74 = 2,346.58/x
  3. Step 3: Cross multiply
    6,244.30x = 9,364.74 × 2,346.58
  4. Step 4: Simplify right side
    6,244.30x = 21,975,111.59
  5. Step 5: Solve for x
    x = 21,975,111.59/6,244.30
  6. Step 6: Final answer
    x = 3,519.23

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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.