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Finding the Fourth Proportional to 6,538.81, 9,023.62 and 3,554.64

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Solution

The fourth proportional to 6,538.81, 9,023.62 and 3,554.64 is: 4,905.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.81 : 9,023.62 = 3,554.64 : x
  2. Step 2: Convert to fraction form
    6,538.81/9,023.62 = 3,554.64/x
  3. Step 3: Cross multiply
    6,538.81x = 9,023.62 × 3,554.64
  4. Step 4: Simplify right side
    6,538.81x = 32,075,728.76
  5. Step 5: Solve for x
    x = 32,075,728.76/6,538.81
  6. Step 6: Final answer
    x = 4,905.44

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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.