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Finding the Fourth Proportional to 9,262.42, 12,782.15 and 5,070.67

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Solution

The fourth proportional to 9,262.42, 12,782.15 and 5,070.67 is: 6,997.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.42 : 12,782.15 = 5,070.67 : x
  2. Step 2: Convert to fraction form
    9,262.42/12,782.15 = 5,070.67/x
  3. Step 3: Cross multiply
    9,262.42x = 12,782.15 × 5,070.67
  4. Step 4: Simplify right side
    9,262.42x = 64,814,039.19
  5. Step 5: Solve for x
    x = 64,814,039.19/9,262.42
  6. Step 6: Final answer
    x = 6,997.53

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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.