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Finding the Fourth Proportional to 9,794.33, 14,686.61 and 3,129.96

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Solution

The fourth proportional to 9,794.33, 14,686.61 and 3,129.96 is: 4,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.33 : 14,686.61 = 3,129.96 : x
  2. Step 2: Convert to fraction form
    9,794.33/14,686.61 = 3,129.96/x
  3. Step 3: Cross multiply
    9,794.33x = 14,686.61 × 3,129.96
  4. Step 4: Simplify right side
    9,794.33x = 45,968,486.19
  5. Step 5: Solve for x
    x = 45,968,486.19/9,794.33
  6. Step 6: Final answer
    x = 4,693.38

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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.