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Finding the Fourth Proportional to 6,984.37, 9,638.34 and 4,630.93

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Solution

The fourth proportional to 6,984.37, 9,638.34 and 4,630.93 is: 6,390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.37 : 9,638.34 = 4,630.93 : x
  2. Step 2: Convert to fraction form
    6,984.37/9,638.34 = 4,630.93/x
  3. Step 3: Cross multiply
    6,984.37x = 9,638.34 × 4,630.93
  4. Step 4: Simplify right side
    6,984.37x = 44,634,477.86
  5. Step 5: Solve for x
    x = 44,634,477.86/6,984.37
  6. Step 6: Final answer
    x = 6,390.62

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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.