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Finding the Fourth Proportional to 7,093.84, 9,795.24 and 4,577.20

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Solution

The fourth proportional to 7,093.84, 9,795.24 and 4,577.20 is: 6,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.84 : 9,795.24 = 4,577.20 : x
  2. Step 2: Convert to fraction form
    7,093.84/9,795.24 = 4,577.20/x
  3. Step 3: Cross multiply
    7,093.84x = 9,795.24 × 4,577.20
  4. Step 4: Simplify right side
    7,093.84x = 44,834,772.53
  5. Step 5: Solve for x
    x = 44,834,772.53/7,093.84
  6. Step 6: Final answer
    x = 6,320.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.