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Finding the Fourth Proportional to 9,197.74, 13,802.08 and 4,816.45

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Solution

The fourth proportional to 9,197.74, 13,802.08 and 4,816.45 is: 7,227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.74 : 13,802.08 = 4,816.45 : x
  2. Step 2: Convert to fraction form
    9,197.74/13,802.08 = 4,816.45/x
  3. Step 3: Cross multiply
    9,197.74x = 13,802.08 × 4,816.45
  4. Step 4: Simplify right side
    9,197.74x = 66,477,028.22
  5. Step 5: Solve for x
    x = 66,477,028.22/9,197.74
  6. Step 6: Final answer
    x = 7,227.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.