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Finding the Fourth Proportional to 6,106.54, 9,153.64 and 2,407.34

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Solution

The fourth proportional to 6,106.54, 9,153.64 and 2,407.34 is: 3,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.54 : 9,153.64 = 2,407.34 : x
  2. Step 2: Convert to fraction form
    6,106.54/9,153.64 = 2,407.34/x
  3. Step 3: Cross multiply
    6,106.54x = 9,153.64 × 2,407.34
  4. Step 4: Simplify right side
    6,106.54x = 22,035,923.72
  5. Step 5: Solve for x
    x = 22,035,923.72/6,106.54
  6. Step 6: Final answer
    x = 3,608.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.