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Finding the Fourth Proportional to 9,814.03, 13,541.91 and 5,778.46

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Solution

The fourth proportional to 9,814.03, 13,541.91 and 5,778.46 is: 7,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.03 : 13,541.91 = 5,778.46 : x
  2. Step 2: Convert to fraction form
    9,814.03/13,541.91 = 5,778.46/x
  3. Step 3: Cross multiply
    9,814.03x = 13,541.91 × 5,778.46
  4. Step 4: Simplify right side
    9,814.03x = 78,251,385.26
  5. Step 5: Solve for x
    x = 78,251,385.26/9,814.03
  6. Step 6: Final answer
    x = 7,973.42

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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.