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Finding the Fourth Proportional to 9,194.75, 12,688.96 and 5,003

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Solution

The fourth proportional to 9,194.75, 12,688.96 and 5,003 is: 6,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.75 : 12,688.96 = 5,003 : x
  2. Step 2: Convert to fraction form
    9,194.75/12,688.96 = 5,003/x
  3. Step 3: Cross multiply
    9,194.75x = 12,688.96 × 5,003
  4. Step 4: Simplify right side
    9,194.75x = 63,482,866.88
  5. Step 5: Solve for x
    x = 63,482,866.88/9,194.75
  6. Step 6: Final answer
    x = 6,904.25

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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.