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Finding the Fourth Proportional to 9,529.60, 14,314.20 and 8,071.60

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Solution

The fourth proportional to 9,529.60, 14,314.20 and 8,071.60 is: 12,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,529.60 : 14,314.20 = 8,071.60 : x
  2. Step 2: Convert to fraction form
    9,529.60/14,314.20 = 8,071.60/x
  3. Step 3: Cross multiply
    9,529.60x = 14,314.20 × 8,071.60
  4. Step 4: Simplify right side
    9,529.60x = 115,538,496.72
  5. Step 5: Solve for x
    x = 115,538,496.72/9,529.60
  6. Step 6: Final answer
    x = 12,124.17

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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.