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Finding the Fourth Proportional to 9,406.73, 12,980.93 and 5,632.00

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Solution

The fourth proportional to 9,406.73, 12,980.93 and 5,632.00 is: 7,771.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.73 : 12,980.93 = 5,632.00 : x
  2. Step 2: Convert to fraction form
    9,406.73/12,980.93 = 5,632.00/x
  3. Step 3: Cross multiply
    9,406.73x = 12,980.93 × 5,632.00
  4. Step 4: Simplify right side
    9,406.73x = 73,108,537.15
  5. Step 5: Solve for x
    x = 73,108,537.15/9,406.73
  6. Step 6: Final answer
    x = 7,771.94

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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.