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Finding the Fourth Proportional to 10,533.44, 14,537.22 and 9,046.28

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Solution

The fourth proportional to 10,533.44, 14,537.22 and 9,046.28 is: 12,484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.44 : 14,537.22 = 9,046.28 : x
  2. Step 2: Convert to fraction form
    10,533.44/14,537.22 = 9,046.28/x
  3. Step 3: Cross multiply
    10,533.44x = 14,537.22 × 9,046.28
  4. Step 4: Simplify right side
    10,533.44x = 131,507,762.54
  5. Step 5: Solve for x
    x = 131,507,762.54/10,533.44
  6. Step 6: Final answer
    x = 12,484.79

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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.