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Finding the Fourth Proportional to 7,053.72, 9,733.76 and 4,069.38

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Solution

The fourth proportional to 7,053.72, 9,733.76 and 4,069.38 is: 5,615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.72 : 9,733.76 = 4,069.38 : x
  2. Step 2: Convert to fraction form
    7,053.72/9,733.76 = 4,069.38/x
  3. Step 3: Cross multiply
    7,053.72x = 9,733.76 × 4,069.38
  4. Step 4: Simplify right side
    7,053.72x = 39,610,368.27
  5. Step 5: Solve for x
    x = 39,610,368.27/7,053.72
  6. Step 6: Final answer
    x = 5,615.53

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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.