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Finding the Fourth Proportional to 6,059.08, 9,088.62 and 5,234.86

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Solution

The fourth proportional to 6,059.08, 9,088.62 and 5,234.86 is: 7,852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.08 : 9,088.62 = 5,234.86 : x
  2. Step 2: Convert to fraction form
    6,059.08/9,088.62 = 5,234.86/x
  3. Step 3: Cross multiply
    6,059.08x = 9,088.62 × 5,234.86
  4. Step 4: Simplify right side
    6,059.08x = 47,577,607.85
  5. Step 5: Solve for x
    x = 47,577,607.85/6,059.08
  6. Step 6: Final answer
    x = 7,852.29

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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.