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Finding the Fourth Proportional to 29,185.12, 43,784.08 and 9,465.67

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Solution

The fourth proportional to 29,185.12, 43,784.08 and 9,465.67 is: 14,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,185.12 : 43,784.08 = 9,465.67 : x
  2. Step 2: Convert to fraction form
    29,185.12/43,784.08 = 9,465.67/x
  3. Step 3: Cross multiply
    29,185.12x = 43,784.08 × 9,465.67
  4. Step 4: Simplify right side
    29,185.12x = 414,445,828.56
  5. Step 5: Solve for x
    x = 414,445,828.56/29,185.12
  6. Step 6: Final answer
    x = 14,200.58

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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.