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Finding the Fourth Proportional to 10,494.99, 14,493.80 and 9,595.28

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Solution

The fourth proportional to 10,494.99, 14,493.80 and 9,595.28 is: 13,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.99 : 14,493.80 = 9,595.28 : x
  2. Step 2: Convert to fraction form
    10,494.99/14,493.80 = 9,595.28/x
  3. Step 3: Cross multiply
    10,494.99x = 14,493.80 × 9,595.28
  4. Step 4: Simplify right side
    10,494.99x = 139,072,129.49
  5. Step 5: Solve for x
    x = 139,072,129.49/10,494.99
  6. Step 6: Final answer
    x = 13,251.29

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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.