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Finding the Fourth Proportional to 9,477.51, 13,073.40 and 5,940.03

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Solution

The fourth proportional to 9,477.51, 13,073.40 and 5,940.03 is: 8,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.51 : 13,073.40 = 5,940.03 : x
  2. Step 2: Convert to fraction form
    9,477.51/13,073.40 = 5,940.03/x
  3. Step 3: Cross multiply
    9,477.51x = 13,073.40 × 5,940.03
  4. Step 4: Simplify right side
    9,477.51x = 77,656,437.23
  5. Step 5: Solve for x
    x = 77,656,437.23/9,477.51
  6. Step 6: Final answer
    x = 8,193.76

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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.