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Finding the Fourth Proportional to 6,017.77, 9,018.96 and 5,234.50

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Solution

The fourth proportional to 6,017.77, 9,018.96 and 5,234.50 is: 7,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,017.77 : 9,018.96 = 5,234.50 : x
  2. Step 2: Convert to fraction form
    6,017.77/9,018.96 = 5,234.50/x
  3. Step 3: Cross multiply
    6,017.77x = 9,018.96 × 5,234.50
  4. Step 4: Simplify right side
    6,017.77x = 47,209,746.12
  5. Step 5: Solve for x
    x = 47,209,746.12/6,017.77
  6. Step 6: Final answer
    x = 7,845.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.