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Finding the Fourth Proportional to 9,263.16, 12,783.20 and 5,071.44

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Solution

The fourth proportional to 9,263.16, 12,783.20 and 5,071.44 is: 6,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.16 : 12,783.20 = 5,071.44 : x
  2. Step 2: Convert to fraction form
    9,263.16/12,783.20 = 5,071.44/x
  3. Step 3: Cross multiply
    9,263.16x = 12,783.20 × 5,071.44
  4. Step 4: Simplify right side
    9,263.16x = 64,829,231.81
  5. Step 5: Solve for x
    x = 64,829,231.81/9,263.16
  6. Step 6: Final answer
    x = 6,998.61

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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.