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Finding the Fourth Proportional to 9,442.60, 13,039.05 and 5,911.81

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Solution

The fourth proportional to 9,442.60, 13,039.05 and 5,911.81 is: 8,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.60 : 13,039.05 = 5,911.81 : x
  2. Step 2: Convert to fraction form
    9,442.60/13,039.05 = 5,911.81/x
  3. Step 3: Cross multiply
    9,442.60x = 13,039.05 × 5,911.81
  4. Step 4: Simplify right side
    9,442.60x = 77,084,386.18
  5. Step 5: Solve for x
    x = 77,084,386.18/9,442.60
  6. Step 6: Final answer
    x = 8,163.47

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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.