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Finding the Fourth Proportional to 9,320.58, 12,861.81 and 5,782.50

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Solution

The fourth proportional to 9,320.58, 12,861.81 and 5,782.50 is: 7,979.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320.58 : 12,861.81 = 5,782.50 : x
  2. Step 2: Convert to fraction form
    9,320.58/12,861.81 = 5,782.50/x
  3. Step 3: Cross multiply
    9,320.58x = 12,861.81 × 5,782.50
  4. Step 4: Simplify right side
    9,320.58x = 74,373,416.33
  5. Step 5: Solve for x
    x = 74,373,416.33/9,320.58
  6. Step 6: Final answer
    x = 7,979.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.