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Finding the Fourth Proportional to 6,934.37, 9,570.41 and 4,415.67

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Solution

The fourth proportional to 6,934.37, 9,570.41 and 4,415.67 is: 6,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.37 : 9,570.41 = 4,415.67 : x
  2. Step 2: Convert to fraction form
    6,934.37/9,570.41 = 4,415.67/x
  3. Step 3: Cross multiply
    6,934.37x = 9,570.41 × 4,415.67
  4. Step 4: Simplify right side
    6,934.37x = 42,259,750.25
  5. Step 5: Solve for x
    x = 42,259,750.25/6,934.37
  6. Step 6: Final answer
    x = 6,094.25

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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.