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Finding the Fourth Proportional to 9,357.56, 14,024.16 and 3,804.36

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Solution

The fourth proportional to 9,357.56, 14,024.16 and 3,804.36 is: 5,701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.56 : 14,024.16 = 3,804.36 : x
  2. Step 2: Convert to fraction form
    9,357.56/14,024.16 = 3,804.36/x
  3. Step 3: Cross multiply
    9,357.56x = 14,024.16 × 3,804.36
  4. Step 4: Simplify right side
    9,357.56x = 53,352,953.34
  5. Step 5: Solve for x
    x = 53,352,953.34/9,357.56
  6. Step 6: Final answer
    x = 5,701.59

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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.