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Finding the Fourth Proportional to 9,832.16, 13,582.14 and 6,846.50

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Solution

The fourth proportional to 9,832.16, 13,582.14 and 6,846.50 is: 9,457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.16 : 13,582.14 = 6,846.50 : x
  2. Step 2: Convert to fraction form
    9,832.16/13,582.14 = 6,846.50/x
  3. Step 3: Cross multiply
    9,832.16x = 13,582.14 × 6,846.50
  4. Step 4: Simplify right side
    9,832.16x = 92,990,121.51
  5. Step 5: Solve for x
    x = 92,990,121.51/9,832.16
  6. Step 6: Final answer
    x = 9,457.75

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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.