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Finding the Fourth Proportional to 9,693.33, 14,541.39 and 3,117.33

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Solution

The fourth proportional to 9,693.33, 14,541.39 and 3,117.33 is: 4,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.33 : 14,541.39 = 3,117.33 : x
  2. Step 2: Convert to fraction form
    9,693.33/14,541.39 = 3,117.33/x
  3. Step 3: Cross multiply
    9,693.33x = 14,541.39 × 3,117.33
  4. Step 4: Simplify right side
    9,693.33x = 45,330,311.29
  5. Step 5: Solve for x
    x = 45,330,311.29/9,693.33
  6. Step 6: Final answer
    x = 4,676.44

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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.