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Finding the Fourth Proportional to 6,477.94, 8,938.04 and 4,706.48

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Solution

The fourth proportional to 6,477.94, 8,938.04 and 4,706.48 is: 6,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.94 : 8,938.04 = 4,706.48 : x
  2. Step 2: Convert to fraction form
    6,477.94/8,938.04 = 4,706.48/x
  3. Step 3: Cross multiply
    6,477.94x = 8,938.04 × 4,706.48
  4. Step 4: Simplify right side
    6,477.94x = 42,066,706.50
  5. Step 5: Solve for x
    x = 42,066,706.50/6,477.94
  6. Step 6: Final answer
    x = 6,493.84

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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.