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Finding the Fourth Proportional to 9,802.94, 13,528.01 and 5,772.11

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Solution

The fourth proportional to 9,802.94, 13,528.01 and 5,772.11 is: 7,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.94 : 13,528.01 = 5,772.11 : x
  2. Step 2: Convert to fraction form
    9,802.94/13,528.01 = 5,772.11/x
  3. Step 3: Cross multiply
    9,802.94x = 13,528.01 × 5,772.11
  4. Step 4: Simplify right side
    9,802.94x = 78,085,065.30
  5. Step 5: Solve for x
    x = 78,085,065.30/9,802.94
  6. Step 6: Final answer
    x = 7,965.48

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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.