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Finding the Fourth Proportional to 6,415.94, 9,627.60 and 4,225.70

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Solution

The fourth proportional to 6,415.94, 9,627.60 and 4,225.70 is: 6,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.94 : 9,627.60 = 4,225.70 : x
  2. Step 2: Convert to fraction form
    6,415.94/9,627.60 = 4,225.70/x
  3. Step 3: Cross multiply
    6,415.94x = 9,627.60 × 4,225.70
  4. Step 4: Simplify right side
    6,415.94x = 40,683,349.32
  5. Step 5: Solve for x
    x = 40,683,349.32/6,415.94
  6. Step 6: Final answer
    x = 6,340.98

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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.