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Finding the Fourth Proportional to 9,364.12, 14,042.10 and 4,682.32

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Solution

The fourth proportional to 9,364.12, 14,042.10 and 4,682.32 is: 7,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.12 : 14,042.10 = 4,682.32 : x
  2. Step 2: Convert to fraction form
    9,364.12/14,042.10 = 4,682.32/x
  3. Step 3: Cross multiply
    9,364.12x = 14,042.10 × 4,682.32
  4. Step 4: Simplify right side
    9,364.12x = 65,749,605.67
  5. Step 5: Solve for x
    x = 65,749,605.67/9,364.12
  6. Step 6: Final answer
    x = 7,021.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.