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Finding the Fourth Proportional to 9,425.60, 14,109.60 and 8,388.80

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Solution

The fourth proportional to 9,425.60, 14,109.60 and 8,388.80 is: 12,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.60 : 14,109.60 = 8,388.80 : x
  2. Step 2: Convert to fraction form
    9,425.60/14,109.60 = 8,388.80/x
  3. Step 3: Cross multiply
    9,425.60x = 14,109.60 × 8,388.80
  4. Step 4: Simplify right side
    9,425.60x = 118,362,612.48
  5. Step 5: Solve for x
    x = 118,362,612.48/9,425.60
  6. Step 6: Final answer
    x = 12,557.57

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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.