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Finding the Fourth Proportional to 9,629.11, 14,435.16 and 9,048.34

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Solution

The fourth proportional to 9,629.11, 14,435.16 and 9,048.34 is: 13,564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629.11 : 14,435.16 = 9,048.34 : x
  2. Step 2: Convert to fraction form
    9,629.11/14,435.16 = 9,048.34/x
  3. Step 3: Cross multiply
    9,629.11x = 14,435.16 × 9,048.34
  4. Step 4: Simplify right side
    9,629.11x = 130,614,235.63
  5. Step 5: Solve for x
    x = 130,614,235.63/9,629.11
  6. Step 6: Final answer
    x = 13,564.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.