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Finding the Fourth Proportional to 9,054.84, 13,577.76 and 3,788.25

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Solution

The fourth proportional to 9,054.84, 13,577.76 and 3,788.25 is: 5,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054.84 : 13,577.76 = 3,788.25 : x
  2. Step 2: Convert to fraction form
    9,054.84/13,577.76 = 3,788.25/x
  3. Step 3: Cross multiply
    9,054.84x = 13,577.76 × 3,788.25
  4. Step 4: Simplify right side
    9,054.84x = 51,435,949.32
  5. Step 5: Solve for x
    x = 51,435,949.32/9,054.84
  6. Step 6: Final answer
    x = 5,680.49

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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.