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Finding the Fourth Proportional to 7,131.40, 9,841.64 and 4,406.54

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Solution

The fourth proportional to 7,131.40, 9,841.64 and 4,406.54 is: 6,081.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.40 : 9,841.64 = 4,406.54 : x
  2. Step 2: Convert to fraction form
    7,131.40/9,841.64 = 4,406.54/x
  3. Step 3: Cross multiply
    7,131.40x = 9,841.64 × 4,406.54
  4. Step 4: Simplify right side
    7,131.40x = 43,367,509.08
  5. Step 5: Solve for x
    x = 43,367,509.08/7,131.40
  6. Step 6: Final answer
    x = 6,081.21

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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.