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Finding the Fourth Proportional to 6,592.42, 9,093.34 and 4,602.25

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Solution

The fourth proportional to 6,592.42, 9,093.34 and 4,602.25 is: 6,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.42 : 9,093.34 = 4,602.25 : x
  2. Step 2: Convert to fraction form
    6,592.42/9,093.34 = 4,602.25/x
  3. Step 3: Cross multiply
    6,592.42x = 9,093.34 × 4,602.25
  4. Step 4: Simplify right side
    6,592.42x = 41,849,755.54
  5. Step 5: Solve for x
    x = 41,849,755.54/6,592.42
  6. Step 6: Final answer
    x = 6,348.17

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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.