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Finding the Fourth Proportional to 9,129.42, 12,598.59 and 5,150.46

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Solution

The fourth proportional to 9,129.42, 12,598.59 and 5,150.46 is: 7,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.42 : 12,598.59 = 5,150.46 : x
  2. Step 2: Convert to fraction form
    9,129.42/12,598.59 = 5,150.46/x
  3. Step 3: Cross multiply
    9,129.42x = 12,598.59 × 5,150.46
  4. Step 4: Simplify right side
    9,129.42x = 64,888,533.85
  5. Step 5: Solve for x
    x = 64,888,533.85/9,129.42
  6. Step 6: Final answer
    x = 7,107.63

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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.