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Finding the Fourth Proportional to 11,802.94, 16,277.43 and 9,820.06

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Solution

The fourth proportional to 11,802.94, 16,277.43 and 9,820.06 is: 13,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.94 : 16,277.43 = 9,820.06 : x
  2. Step 2: Convert to fraction form
    11,802.94/16,277.43 = 9,820.06/x
  3. Step 3: Cross multiply
    11,802.94x = 16,277.43 × 9,820.06
  4. Step 4: Simplify right side
    11,802.94x = 159,845,339.25
  5. Step 5: Solve for x
    x = 159,845,339.25/11,802.94
  6. Step 6: Final answer
    x = 13,542.84

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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.