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Finding the Fourth Proportional to 6,043.24, 9,106.03 and 4,971.60

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Solution

The fourth proportional to 6,043.24, 9,106.03 and 4,971.60 is: 7,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,043.24 : 9,106.03 = 4,971.60 : x
  2. Step 2: Convert to fraction form
    6,043.24/9,106.03 = 4,971.60/x
  3. Step 3: Cross multiply
    6,043.24x = 9,106.03 × 4,971.60
  4. Step 4: Simplify right side
    6,043.24x = 45,271,538.75
  5. Step 5: Solve for x
    x = 45,271,538.75/6,043.24
  6. Step 6: Final answer
    x = 7,491.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.