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Finding the Fourth Proportional to 9,666.40, 14,500.80 and 4,120.56

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Solution

The fourth proportional to 9,666.40, 14,500.80 and 4,120.56 is: 6,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.40 : 14,500.80 = 4,120.56 : x
  2. Step 2: Convert to fraction form
    9,666.40/14,500.80 = 4,120.56/x
  3. Step 3: Cross multiply
    9,666.40x = 14,500.80 × 4,120.56
  4. Step 4: Simplify right side
    9,666.40x = 59,751,416.45
  5. Step 5: Solve for x
    x = 59,751,416.45/9,666.40
  6. Step 6: Final answer
    x = 6,181.35

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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.