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Finding the Fourth Proportional to 9,567.87, 14,354.42 and 3,328.24

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Solution

The fourth proportional to 9,567.87, 14,354.42 and 3,328.24 is: 4,993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.87 : 14,354.42 = 3,328.24 : x
  2. Step 2: Convert to fraction form
    9,567.87/14,354.42 = 3,328.24/x
  3. Step 3: Cross multiply
    9,567.87x = 14,354.42 × 3,328.24
  4. Step 4: Simplify right side
    9,567.87x = 47,774,929.21
  5. Step 5: Solve for x
    x = 47,774,929.21/9,567.87
  6. Step 6: Final answer
    x = 4,993.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.