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Finding the Fourth Proportional to 9,356.48, 12,911.95 and 5,164.73

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Solution

The fourth proportional to 9,356.48, 12,911.95 and 5,164.73 is: 7,127.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.48 : 12,911.95 = 5,164.73 : x
  2. Step 2: Convert to fraction form
    9,356.48/12,911.95 = 5,164.73/x
  3. Step 3: Cross multiply
    9,356.48x = 12,911.95 × 5,164.73
  4. Step 4: Simplify right side
    9,356.48x = 66,686,670.96
  5. Step 5: Solve for x
    x = 66,686,670.96/9,356.48
  6. Step 6: Final answer
    x = 7,127.33

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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.