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Finding the Fourth Proportional to 9,466.86, 13,059.90 and 5,923.92

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Solution

The fourth proportional to 9,466.86, 13,059.90 and 5,923.92 is: 8,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.86 : 13,059.90 = 5,923.92 : x
  2. Step 2: Convert to fraction form
    9,466.86/13,059.90 = 5,923.92/x
  3. Step 3: Cross multiply
    9,466.86x = 13,059.90 × 5,923.92
  4. Step 4: Simplify right side
    9,466.86x = 77,365,802.81
  5. Step 5: Solve for x
    x = 77,365,802.81/9,466.86
  6. Step 6: Final answer
    x = 8,172.28

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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.