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Finding the Fourth Proportional to 9,693.54, 14,547.56 and 3,771.36

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Solution

The fourth proportional to 9,693.54, 14,547.56 and 3,771.36 is: 5,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.54 : 14,547.56 = 3,771.36 : x
  2. Step 2: Convert to fraction form
    9,693.54/14,547.56 = 3,771.36/x
  3. Step 3: Cross multiply
    9,693.54x = 14,547.56 × 3,771.36
  4. Step 4: Simplify right side
    9,693.54x = 54,864,067.02
  5. Step 5: Solve for x
    x = 54,864,067.02/9,693.54
  6. Step 6: Final answer
    x = 5,659.86

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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.