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Finding the Fourth Proportional to 9,356.25, 12,911.65 and 5,164.50

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Solution

The fourth proportional to 9,356.25, 12,911.65 and 5,164.50 is: 7,127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.25 : 12,911.65 = 5,164.50 : x
  2. Step 2: Convert to fraction form
    9,356.25/12,911.65 = 5,164.50/x
  3. Step 3: Cross multiply
    9,356.25x = 12,911.65 × 5,164.50
  4. Step 4: Simplify right side
    9,356.25x = 66,682,203.51
  5. Step 5: Solve for x
    x = 66,682,203.51/9,356.25
  6. Step 6: Final answer
    x = 7,127.02

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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.