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Finding the Fourth Proportional to 9,407.63, 12,982.15 and 5,628.58

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Solution

The fourth proportional to 9,407.63, 12,982.15 and 5,628.58 is: 7,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.63 : 12,982.15 = 5,628.58 : x
  2. Step 2: Convert to fraction form
    9,407.63/12,982.15 = 5,628.58/x
  3. Step 3: Cross multiply
    9,407.63x = 12,982.15 × 5,628.58
  4. Step 4: Simplify right side
    9,407.63x = 73,071,069.85
  5. Step 5: Solve for x
    x = 73,071,069.85/9,407.63
  6. Step 6: Final answer
    x = 7,767.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.