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Finding the Fourth Proportional to 9,323.02, 13,974.43 and 4,646.53

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Solution

The fourth proportional to 9,323.02, 13,974.43 and 4,646.53 is: 6,964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.02 : 13,974.43 = 4,646.53 : x
  2. Step 2: Convert to fraction form
    9,323.02/13,974.43 = 4,646.53/x
  3. Step 3: Cross multiply
    9,323.02x = 13,974.43 × 4,646.53
  4. Step 4: Simplify right side
    9,323.02x = 64,932,608.23
  5. Step 5: Solve for x
    x = 64,932,608.23/9,323.02
  6. Step 6: Final answer
    x = 6,964.76

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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.