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Finding the Fourth Proportional to 9,609.60, 14,430.60 and 6,337.20

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Solution

The fourth proportional to 9,609.60, 14,430.60 and 6,337.20 is: 9,516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.60 : 14,430.60 = 6,337.20 : x
  2. Step 2: Convert to fraction form
    9,609.60/14,430.60 = 6,337.20/x
  3. Step 3: Cross multiply
    9,609.60x = 14,430.60 × 6,337.20
  4. Step 4: Simplify right side
    9,609.60x = 91,449,598.32
  5. Step 5: Solve for x
    x = 91,449,598.32/9,609.60
  6. Step 6: Final answer
    x = 9,516.48

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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.