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Finding the Fourth Proportional to 9,609.60, 14,421.42 and 6,329.64

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Solution

The fourth proportional to 9,609.60, 14,421.42 and 6,329.64 is: 9,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.60 : 14,421.42 = 6,329.64 : x
  2. Step 2: Convert to fraction form
    9,609.60/14,421.42 = 6,329.64/x
  3. Step 3: Cross multiply
    9,609.60x = 14,421.42 × 6,329.64
  4. Step 4: Simplify right side
    9,609.60x = 91,282,396.89
  5. Step 5: Solve for x
    x = 91,282,396.89/9,609.60
  6. Step 6: Final answer
    x = 9,499.08

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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.