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Finding the Fourth Proportional to 9,604.68, 14,411.47 and 4,059.32

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Solution

The fourth proportional to 9,604.68, 14,411.47 and 4,059.32 is: 6,090.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.68 : 14,411.47 = 4,059.32 : x
  2. Step 2: Convert to fraction form
    9,604.68/14,411.47 = 4,059.32/x
  3. Step 3: Cross multiply
    9,604.68x = 14,411.47 × 4,059.32
  4. Step 4: Simplify right side
    9,604.68x = 58,500,693.81
  5. Step 5: Solve for x
    x = 58,500,693.81/9,604.68
  6. Step 6: Final answer
    x = 6,090.86

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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.