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Finding the Fourth Proportional to 9,783.07, 13,508.03 and 6,011.44

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Solution

The fourth proportional to 9,783.07, 13,508.03 and 6,011.44 is: 8,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.07 : 13,508.03 = 6,011.44 : x
  2. Step 2: Convert to fraction form
    9,783.07/13,508.03 = 6,011.44/x
  3. Step 3: Cross multiply
    9,783.07x = 13,508.03 × 6,011.44
  4. Step 4: Simplify right side
    9,783.07x = 81,202,693.12
  5. Step 5: Solve for x
    x = 81,202,693.12/9,783.07
  6. Step 6: Final answer
    x = 8,300.33

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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.