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Finding the Fourth Proportional to 9,594.30, 13,242.18 and 6,448.67

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Solution

The fourth proportional to 9,594.30, 13,242.18 and 6,448.67 is: 8,900.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.30 : 13,242.18 = 6,448.67 : x
  2. Step 2: Convert to fraction form
    9,594.30/13,242.18 = 6,448.67/x
  3. Step 3: Cross multiply
    9,594.30x = 13,242.18 × 6,448.67
  4. Step 4: Simplify right side
    9,594.30x = 85,394,448.90
  5. Step 5: Solve for x
    x = 85,394,448.90/9,594.30
  6. Step 6: Final answer
    x = 8,900.54

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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.