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Finding the Fourth Proportional to 10,490.54, 14,478.36 and 9,604.76

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Solution

The fourth proportional to 10,490.54, 14,478.36 and 9,604.76 is: 13,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.54 : 14,478.36 = 9,604.76 : x
  2. Step 2: Convert to fraction form
    10,490.54/14,478.36 = 9,604.76/x
  3. Step 3: Cross multiply
    10,490.54x = 14,478.36 × 9,604.76
  4. Step 4: Simplify right side
    10,490.54x = 139,061,172.99
  5. Step 5: Solve for x
    x = 139,061,172.99/10,490.54
  6. Step 6: Final answer
    x = 13,255.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.