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Finding the Fourth Proportional to 6,941.34, 9,576.36 and 4,423.00

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Solution

The fourth proportional to 6,941.34, 9,576.36 and 4,423.00 is: 6,102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.34 : 9,576.36 = 4,423.00 : x
  2. Step 2: Convert to fraction form
    6,941.34/9,576.36 = 4,423.00/x
  3. Step 3: Cross multiply
    6,941.34x = 9,576.36 × 4,423.00
  4. Step 4: Simplify right side
    6,941.34x = 42,356,216.34
  5. Step 5: Solve for x
    x = 42,356,216.34/6,941.34
  6. Step 6: Final answer
    x = 6,102.02

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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.