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Finding the Fourth Proportional to 9,802.44, 13,528.98 and 7,158.60

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Solution

The fourth proportional to 9,802.44, 13,528.98 and 7,158.60 is: 9,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.44 : 13,528.98 = 7,158.60 : x
  2. Step 2: Convert to fraction form
    9,802.44/13,528.98 = 7,158.60/x
  3. Step 3: Cross multiply
    9,802.44x = 13,528.98 × 7,158.60
  4. Step 4: Simplify right side
    9,802.44x = 96,848,556.23
  5. Step 5: Solve for x
    x = 96,848,556.23/9,802.44
  6. Step 6: Final answer
    x = 9,880.05

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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.