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Finding the Fourth Proportional to 6,346.77, 9,525.63 and 3,062.63

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Solution

The fourth proportional to 6,346.77, 9,525.63 and 3,062.63 is: 4,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.77 : 9,525.63 = 3,062.63 : x
  2. Step 2: Convert to fraction form
    6,346.77/9,525.63 = 3,062.63/x
  3. Step 3: Cross multiply
    6,346.77x = 9,525.63 × 3,062.63
  4. Step 4: Simplify right side
    6,346.77x = 29,173,464.47
  5. Step 5: Solve for x
    x = 29,173,464.47/6,346.77
  6. Step 6: Final answer
    x = 4,596.58

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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.