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Finding the Fourth Proportional to 9,929.60, 13,736.76 and 8,157.68

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Solution

The fourth proportional to 9,929.60, 13,736.76 and 8,157.68 is: 11,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.60 : 13,736.76 = 8,157.68 : x
  2. Step 2: Convert to fraction form
    9,929.60/13,736.76 = 8,157.68/x
  3. Step 3: Cross multiply
    9,929.60x = 13,736.76 × 8,157.68
  4. Step 4: Simplify right side
    9,929.60x = 112,060,092.32
  5. Step 5: Solve for x
    x = 112,060,092.32/9,929.60
  6. Step 6: Final answer
    x = 11,285.46

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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.