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Finding the Fourth Proportional to 6,002.34, 9,004.41 and 2,106.06

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Solution

The fourth proportional to 6,002.34, 9,004.41 and 2,106.06 is: 3,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.34 : 9,004.41 = 2,106.06 : x
  2. Step 2: Convert to fraction form
    6,002.34/9,004.41 = 2,106.06/x
  3. Step 3: Cross multiply
    6,002.34x = 9,004.41 × 2,106.06
  4. Step 4: Simplify right side
    6,002.34x = 18,963,827.72
  5. Step 5: Solve for x
    x = 18,963,827.72/6,002.34
  6. Step 6: Final answer
    x = 3,159.41

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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.