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Finding the Fourth Proportional to 6,529.13, 9,784.85 and 4,765.86

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Solution

The fourth proportional to 6,529.13, 9,784.85 and 4,765.86 is: 7,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.13 : 9,784.85 = 4,765.86 : x
  2. Step 2: Convert to fraction form
    6,529.13/9,784.85 = 4,765.86/x
  3. Step 3: Cross multiply
    6,529.13x = 9,784.85 × 4,765.86
  4. Step 4: Simplify right side
    6,529.13x = 46,633,225.22
  5. Step 5: Solve for x
    x = 46,633,225.22/6,529.13
  6. Step 6: Final answer
    x = 7,142.33

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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.