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Finding the Fourth Proportional to 9,361.08, 12,917.64 and 5,169

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Solution

The fourth proportional to 9,361.08, 12,917.64 and 5,169 is: 7,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.08 : 12,917.64 = 5,169 : x
  2. Step 2: Convert to fraction form
    9,361.08/12,917.64 = 5,169/x
  3. Step 3: Cross multiply
    9,361.08x = 12,917.64 × 5,169
  4. Step 4: Simplify right side
    9,361.08x = 66,771,281.16
  5. Step 5: Solve for x
    x = 66,771,281.16/9,361.08
  6. Step 6: Final answer
    x = 7,132.86

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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.