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Finding the Fourth Proportional to 9,194.74, 13,798.95 and 4,517.26

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Solution

The fourth proportional to 9,194.74, 13,798.95 and 4,517.26 is: 6,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.74 : 13,798.95 = 4,517.26 : x
  2. Step 2: Convert to fraction form
    9,194.74/13,798.95 = 4,517.26/x
  3. Step 3: Cross multiply
    9,194.74x = 13,798.95 × 4,517.26
  4. Step 4: Simplify right side
    9,194.74x = 62,333,444.88
  5. Step 5: Solve for x
    x = 62,333,444.88/9,194.74
  6. Step 6: Final answer
    x = 6,779.25

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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.