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Finding the Fourth Proportional to 7,076.10, 9,771.69 and 4,562.72

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Solution

The fourth proportional to 7,076.10, 9,771.69 and 4,562.72 is: 6,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.10 : 9,771.69 = 4,562.72 : x
  2. Step 2: Convert to fraction form
    7,076.10/9,771.69 = 4,562.72/x
  3. Step 3: Cross multiply
    7,076.10x = 9,771.69 × 4,562.72
  4. Step 4: Simplify right side
    7,076.10x = 44,585,485.40
  5. Step 5: Solve for x
    x = 44,585,485.40/7,076.10
  6. Step 6: Final answer
    x = 6,300.86

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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.