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Finding the Fourth Proportional to 9,687.53, 13,368.79 and 5,438.00

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Solution

The fourth proportional to 9,687.53, 13,368.79 and 5,438.00 is: 7,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.53 : 13,368.79 = 5,438.00 : x
  2. Step 2: Convert to fraction form
    9,687.53/13,368.79 = 5,438.00/x
  3. Step 3: Cross multiply
    9,687.53x = 13,368.79 × 5,438.00
  4. Step 4: Simplify right side
    9,687.53x = 72,699,399.58
  5. Step 5: Solve for x
    x = 72,699,399.58/9,687.53
  6. Step 6: Final answer
    x = 7,504.43

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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.