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Finding the Fourth Proportional to 9,765.51, 14,650.70 and 2,840.01

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Solution

The fourth proportional to 9,765.51, 14,650.70 and 2,840.01 is: 4,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.51 : 14,650.70 = 2,840.01 : x
  2. Step 2: Convert to fraction form
    9,765.51/14,650.70 = 2,840.01/x
  3. Step 3: Cross multiply
    9,765.51x = 14,650.70 × 2,840.01
  4. Step 4: Simplify right side
    9,765.51x = 41,608,120.31
  5. Step 5: Solve for x
    x = 41,608,120.31/9,765.51
  6. Step 6: Final answer
    x = 4,260.72

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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.