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Finding the Fourth Proportional to 6,430.37, 9,628.52 and 5,259.11

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Solution

The fourth proportional to 6,430.37, 9,628.52 and 5,259.11 is: 7,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.37 : 9,628.52 = 5,259.11 : x
  2. Step 2: Convert to fraction form
    6,430.37/9,628.52 = 5,259.11/x
  3. Step 3: Cross multiply
    6,430.37x = 9,628.52 × 5,259.11
  4. Step 4: Simplify right side
    6,430.37x = 50,637,410.82
  5. Step 5: Solve for x
    x = 50,637,410.82/6,430.37
  6. Step 6: Final answer
    x = 7,874.73

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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.