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Finding the Fourth Proportional to 10,490.29, 14,478.02 and 9,604.51

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Solution

The fourth proportional to 10,490.29, 14,478.02 and 9,604.51 is: 13,255.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.29 : 14,478.02 = 9,604.51 : x
  2. Step 2: Convert to fraction form
    10,490.29/14,478.02 = 9,604.51/x
  3. Step 3: Cross multiply
    10,490.29x = 14,478.02 × 9,604.51
  4. Step 4: Simplify right side
    10,490.29x = 139,054,287.87
  5. Step 5: Solve for x
    x = 139,054,287.87/10,490.29
  6. Step 6: Final answer
    x = 13,255.52

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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.