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Finding the Fourth Proportional to 7,096.34, 9,795.22 and 4,578.52

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Solution

The fourth proportional to 7,096.34, 9,795.22 and 4,578.52 is: 6,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.34 : 9,795.22 = 4,578.52 : x
  2. Step 2: Convert to fraction form
    7,096.34/9,795.22 = 4,578.52/x
  3. Step 3: Cross multiply
    7,096.34x = 9,795.22 × 4,578.52
  4. Step 4: Simplify right side
    7,096.34x = 44,847,610.67
  5. Step 5: Solve for x
    x = 44,847,610.67/7,096.34
  6. Step 6: Final answer
    x = 6,319.82

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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.