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Finding the Fourth Proportional to 9,810.96, 14,716.42 and 2,415.54

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Solution

The fourth proportional to 9,810.96, 14,716.42 and 2,415.54 is: 3,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.96 : 14,716.42 = 2,415.54 : x
  2. Step 2: Convert to fraction form
    9,810.96/14,716.42 = 2,415.54/x
  3. Step 3: Cross multiply
    9,810.96x = 14,716.42 × 2,415.54
  4. Step 4: Simplify right side
    9,810.96x = 35,548,101.17
  5. Step 5: Solve for x
    x = 35,548,101.17/9,810.96
  6. Step 6: Final answer
    x = 3,623.31

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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.