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Finding the Fourth Proportional to 6,415.66, 9,625.67 and 4,045.53

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Solution

The fourth proportional to 6,415.66, 9,625.67 and 4,045.53 is: 6,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.66 : 9,625.67 = 4,045.53 : x
  2. Step 2: Convert to fraction form
    6,415.66/9,625.67 = 4,045.53/x
  3. Step 3: Cross multiply
    6,415.66x = 9,625.67 × 4,045.53
  4. Step 4: Simplify right side
    6,415.66x = 38,940,936.76
  5. Step 5: Solve for x
    x = 38,940,936.76/6,415.66
  6. Step 6: Final answer
    x = 6,069.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.