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Finding the Fourth Proportional to 9,625.37, 14,503.73 and 8,564.67

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Solution

The fourth proportional to 9,625.37, 14,503.73 and 8,564.67 is: 12,905.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.37 : 14,503.73 = 8,564.67 : x
  2. Step 2: Convert to fraction form
    9,625.37/14,503.73 = 8,564.67/x
  3. Step 3: Cross multiply
    9,625.37x = 14,503.73 × 8,564.67
  4. Step 4: Simplify right side
    9,625.37x = 124,219,618.40
  5. Step 5: Solve for x
    x = 124,219,618.40/9,625.37
  6. Step 6: Final answer
    x = 12,905.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.