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Finding the Fourth Proportional to 7,070.20, 9,736.14 and 6,478.84

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Solution

The fourth proportional to 7,070.20, 9,736.14 and 6,478.84 is: 8,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.20 : 9,736.14 = 6,478.84 : x
  2. Step 2: Convert to fraction form
    7,070.20/9,736.14 = 6,478.84/x
  3. Step 3: Cross multiply
    7,070.20x = 9,736.14 × 6,478.84
  4. Step 4: Simplify right side
    7,070.20x = 63,078,893.28
  5. Step 5: Solve for x
    x = 63,078,893.28/7,070.20
  6. Step 6: Final answer
    x = 8,921.80

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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.