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Finding the Fourth Proportional to 6,538.70, 9,023.34 and 3,554.35

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Solution

The fourth proportional to 6,538.70, 9,023.34 and 3,554.35 is: 4,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.70 : 9,023.34 = 3,554.35 : x
  2. Step 2: Convert to fraction form
    6,538.70/9,023.34 = 3,554.35/x
  3. Step 3: Cross multiply
    6,538.70x = 9,023.34 × 3,554.35
  4. Step 4: Simplify right side
    6,538.70x = 32,072,106.48
  5. Step 5: Solve for x
    x = 32,072,106.48/6,538.70
  6. Step 6: Final answer
    x = 4,904.97

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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.