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Finding the Fourth Proportional to 9,501.60, 14,223.60 and 8,464.80

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Solution

The fourth proportional to 9,501.60, 14,223.60 and 8,464.80 is: 12,671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.60 : 14,223.60 = 8,464.80 : x
  2. Step 2: Convert to fraction form
    9,501.60/14,223.60 = 8,464.80/x
  3. Step 3: Cross multiply
    9,501.60x = 14,223.60 × 8,464.80
  4. Step 4: Simplify right side
    9,501.60x = 120,399,929.28
  5. Step 5: Solve for x
    x = 120,399,929.28/9,501.60
  6. Step 6: Final answer
    x = 12,671.54

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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.