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Finding the Fourth Proportional to 6,975.74, 9,628.66 and 4,143.58

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Solution

The fourth proportional to 6,975.74, 9,628.66 and 4,143.58 is: 5,719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.74 : 9,628.66 = 4,143.58 : x
  2. Step 2: Convert to fraction form
    6,975.74/9,628.66 = 4,143.58/x
  3. Step 3: Cross multiply
    6,975.74x = 9,628.66 × 4,143.58
  4. Step 4: Simplify right side
    6,975.74x = 39,897,123.00
  5. Step 5: Solve for x
    x = 39,897,123.00/6,975.74
  6. Step 6: Final answer
    x = 5,719.41

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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.