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Finding the Fourth Proportional to 7,101.37, 9,795.48 and 5,683.47

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Solution

The fourth proportional to 7,101.37, 9,795.48 and 5,683.47 is: 7,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.37 : 9,795.48 = 5,683.47 : x
  2. Step 2: Convert to fraction form
    7,101.37/9,795.48 = 5,683.47/x
  3. Step 3: Cross multiply
    7,101.37x = 9,795.48 × 5,683.47
  4. Step 4: Simplify right side
    7,101.37x = 55,672,290.64
  5. Step 5: Solve for x
    x = 55,672,290.64/7,101.37
  6. Step 6: Final answer
    x = 7,839.65

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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.