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Finding the Fourth Proportional to 9,357.34, 14,023.86 and 3,804.22

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Solution

The fourth proportional to 9,357.34, 14,023.86 and 3,804.22 is: 5,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.34 : 14,023.86 = 3,804.22 : x
  2. Step 2: Convert to fraction form
    9,357.34/14,023.86 = 3,804.22/x
  3. Step 3: Cross multiply
    9,357.34x = 14,023.86 × 3,804.22
  4. Step 4: Simplify right side
    9,357.34x = 53,349,848.69
  5. Step 5: Solve for x
    x = 53,349,848.69/9,357.34
  6. Step 6: Final answer
    x = 5,701.39

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