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Finding the Fourth Proportional to 9,399.84, 14,100.93 and 3,074.58

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Solution

The fourth proportional to 9,399.84, 14,100.93 and 3,074.58 is: 4,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.84 : 14,100.93 = 3,074.58 : x
  2. Step 2: Convert to fraction form
    9,399.84/14,100.93 = 3,074.58/x
  3. Step 3: Cross multiply
    9,399.84x = 14,100.93 × 3,074.58
  4. Step 4: Simplify right side
    9,399.84x = 43,354,437.36
  5. Step 5: Solve for x
    x = 43,354,437.36/9,399.84
  6. Step 6: Final answer
    x = 4,612.25

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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.