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Finding the Fourth Proportional to 9,733.56, 14,602.44 and 3,159.24

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Solution

The fourth proportional to 9,733.56, 14,602.44 and 3,159.24 is: 4,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.56 : 14,602.44 = 3,159.24 : x
  2. Step 2: Convert to fraction form
    9,733.56/14,602.44 = 3,159.24/x
  3. Step 3: Cross multiply
    9,733.56x = 14,602.44 × 3,159.24
  4. Step 4: Simplify right side
    9,733.56x = 46,132,612.55
  5. Step 5: Solve for x
    x = 46,132,612.55/9,733.56
  6. Step 6: Final answer
    x = 4,739.54

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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.