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Finding the Fourth Proportional to 9,607.96, 14,411.42 and 2,944.45

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Solution

The fourth proportional to 9,607.96, 14,411.42 and 2,944.45 is: 4,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.96 : 14,411.42 = 2,944.45 : x
  2. Step 2: Convert to fraction form
    9,607.96/14,411.42 = 2,944.45/x
  3. Step 3: Cross multiply
    9,607.96x = 14,411.42 × 2,944.45
  4. Step 4: Simplify right side
    9,607.96x = 42,433,705.62
  5. Step 5: Solve for x
    x = 42,433,705.62/9,607.96
  6. Step 6: Final answer
    x = 4,416.52

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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.