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Finding the Fourth Proportional to 7,059.76, 9,741.40 and 4,034.36

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Solution

The fourth proportional to 7,059.76, 9,741.40 and 4,034.36 is: 5,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.76 : 9,741.40 = 4,034.36 : x
  2. Step 2: Convert to fraction form
    7,059.76/9,741.40 = 4,034.36/x
  3. Step 3: Cross multiply
    7,059.76x = 9,741.40 × 4,034.36
  4. Step 4: Simplify right side
    7,059.76x = 39,300,328.77
  5. Step 5: Solve for x
    x = 39,300,328.77/7,059.76
  6. Step 6: Final answer
    x = 5,566.81

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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.