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Finding the Fourth Proportional to 9,846.96, 13,582.04 and 5,865

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Solution

The fourth proportional to 9,846.96, 13,582.04 and 5,865 is: 8,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.96 : 13,582.04 = 5,865 : x
  2. Step 2: Convert to fraction form
    9,846.96/13,582.04 = 5,865/x
  3. Step 3: Cross multiply
    9,846.96x = 13,582.04 × 5,865
  4. Step 4: Simplify right side
    9,846.96x = 79,658,635.28
  5. Step 5: Solve for x
    x = 79,658,635.28/9,846.96
  6. Step 6: Final answer
    x = 8,089.67

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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.