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Finding the Fourth Proportional to 9,846.72, 13,582.26 and 6,312.24

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Solution

The fourth proportional to 9,846.72, 13,582.26 and 6,312.24 is: 8,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.72 : 13,582.26 = 6,312.24 : x
  2. Step 2: Convert to fraction form
    9,846.72/13,582.26 = 6,312.24/x
  3. Step 3: Cross multiply
    9,846.72x = 13,582.26 × 6,312.24
  4. Step 4: Simplify right side
    9,846.72x = 85,734,484.86
  5. Step 5: Solve for x
    x = 85,734,484.86/9,846.72
  6. Step 6: Final answer
    x = 8,706.91

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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.