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Finding the Fourth Proportional to 9,641.25, 14,458.12 and 4,094.82

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Solution

The fourth proportional to 9,641.25, 14,458.12 and 4,094.82 is: 6,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.25 : 14,458.12 = 4,094.82 : x
  2. Step 2: Convert to fraction form
    9,641.25/14,458.12 = 4,094.82/x
  3. Step 3: Cross multiply
    9,641.25x = 14,458.12 × 4,094.82
  4. Step 4: Simplify right side
    9,641.25x = 59,203,339.22
  5. Step 5: Solve for x
    x = 59,203,339.22/9,641.25
  6. Step 6: Final answer
    x = 6,140.63

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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.