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Finding the Fourth Proportional to 9,349.60, 13,995.60 and 8,312.80

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Solution

The fourth proportional to 9,349.60, 13,995.60 and 8,312.80 is: 12,443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.60 : 13,995.60 = 8,312.80 : x
  2. Step 2: Convert to fraction form
    9,349.60/13,995.60 = 8,312.80/x
  3. Step 3: Cross multiply
    9,349.60x = 13,995.60 × 8,312.80
  4. Step 4: Simplify right side
    9,349.60x = 116,342,623.68
  5. Step 5: Solve for x
    x = 116,342,623.68/9,349.60
  6. Step 6: Final answer
    x = 12,443.59

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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.