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Finding the Fourth Proportional to 9,458.42, 13,051.05 and 5,732.42

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Solution

The fourth proportional to 9,458.42, 13,051.05 and 5,732.42 is: 7,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.42 : 13,051.05 = 5,732.42 : x
  2. Step 2: Convert to fraction form
    9,458.42/13,051.05 = 5,732.42/x
  3. Step 3: Cross multiply
    9,458.42x = 13,051.05 × 5,732.42
  4. Step 4: Simplify right side
    9,458.42x = 74,814,034.79
  5. Step 5: Solve for x
    x = 74,814,034.79/9,458.42
  6. Step 6: Final answer
    x = 7,909.79

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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.