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Finding the Fourth Proportional to 9,546.53, 14,242.29 and 9,029.85

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Solution

The fourth proportional to 9,546.53, 14,242.29 and 9,029.85 is: 13,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.53 : 14,242.29 = 9,029.85 : x
  2. Step 2: Convert to fraction form
    9,546.53/14,242.29 = 9,029.85/x
  3. Step 3: Cross multiply
    9,546.53x = 14,242.29 × 9,029.85
  4. Step 4: Simplify right side
    9,546.53x = 128,605,742.36
  5. Step 5: Solve for x
    x = 128,605,742.36/9,546.53
  6. Step 6: Final answer
    x = 13,471.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.