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Finding the Fourth Proportional to 9,566.51, 13,201.09 and 5,983.07

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Solution

The fourth proportional to 9,566.51, 13,201.09 and 5,983.07 is: 8,256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.51 : 13,201.09 = 5,983.07 : x
  2. Step 2: Convert to fraction form
    9,566.51/13,201.09 = 5,983.07/x
  3. Step 3: Cross multiply
    9,566.51x = 13,201.09 × 5,983.07
  4. Step 4: Simplify right side
    9,566.51x = 78,983,038.84
  5. Step 5: Solve for x
    x = 78,983,038.84/9,566.51
  6. Step 6: Final answer
    x = 8,256.21

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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.