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Finding the Fourth Proportional to 6,427.69, 9,641.53 and 1,810.69

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Solution

The fourth proportional to 6,427.69, 9,641.53 and 1,810.69 is: 2,716.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.69 : 9,641.53 = 1,810.69 : x
  2. Step 2: Convert to fraction form
    6,427.69/9,641.53 = 1,810.69/x
  3. Step 3: Cross multiply
    6,427.69x = 9,641.53 × 1,810.69
  4. Step 4: Simplify right side
    6,427.69x = 17,457,800.12
  5. Step 5: Solve for x
    x = 17,457,800.12/6,427.69
  6. Step 6: Final answer
    x = 2,716.03

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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.