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Finding the Fourth Proportional to 6,602.72, 9,106.72 and 4,213.42

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Solution

The fourth proportional to 6,602.72, 9,106.72 and 4,213.42 is: 5,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.72 : 9,106.72 = 4,213.42 : x
  2. Step 2: Convert to fraction form
    6,602.72/9,106.72 = 4,213.42/x
  3. Step 3: Cross multiply
    6,602.72x = 9,106.72 × 4,213.42
  4. Step 4: Simplify right side
    6,602.72x = 38,370,402.88
  5. Step 5: Solve for x
    x = 38,370,402.88/6,602.72
  6. Step 6: Final answer
    x = 5,811.31

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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.