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Finding the Fourth Proportional to 7,032.52, 9,704.64 and 4,047.94

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Solution

The fourth proportional to 7,032.52, 9,704.64 and 4,047.94 is: 5,586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.52 : 9,704.64 = 4,047.94 : x
  2. Step 2: Convert to fraction form
    7,032.52/9,704.64 = 4,047.94/x
  3. Step 3: Cross multiply
    7,032.52x = 9,704.64 × 4,047.94
  4. Step 4: Simplify right side
    7,032.52x = 39,283,800.44
  5. Step 5: Solve for x
    x = 39,283,800.44/7,032.52
  6. Step 6: Final answer
    x = 5,586.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.