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Finding the Fourth Proportional to 9,675.02, 13,352.64 and 6,537.62

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Solution

The fourth proportional to 9,675.02, 13,352.64 and 6,537.62 is: 9,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.02 : 13,352.64 = 6,537.62 : x
  2. Step 2: Convert to fraction form
    9,675.02/13,352.64 = 6,537.62/x
  3. Step 3: Cross multiply
    9,675.02x = 13,352.64 × 6,537.62
  4. Step 4: Simplify right side
    9,675.02x = 87,294,486.32
  5. Step 5: Solve for x
    x = 87,294,486.32/9,675.02
  6. Step 6: Final answer
    x = 9,022.67

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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.