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Finding the Fourth Proportional to 9,851.04, 13,597.20 and 5,660.64

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Solution

The fourth proportional to 9,851.04, 13,597.20 and 5,660.64 is: 7,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.04 : 13,597.20 = 5,660.64 : x
  2. Step 2: Convert to fraction form
    9,851.04/13,597.20 = 5,660.64/x
  3. Step 3: Cross multiply
    9,851.04x = 13,597.20 × 5,660.64
  4. Step 4: Simplify right side
    9,851.04x = 76,968,854.21
  5. Step 5: Solve for x
    x = 76,968,854.21/9,851.04
  6. Step 6: Final answer
    x = 7,813.27

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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.