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Finding the Fourth Proportional to 9,852.49, 14,775.56 and 3,276.91

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Solution

The fourth proportional to 9,852.49, 14,775.56 and 3,276.91 is: 4,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.49 : 14,775.56 = 3,276.91 : x
  2. Step 2: Convert to fraction form
    9,852.49/14,775.56 = 3,276.91/x
  3. Step 3: Cross multiply
    9,852.49x = 14,775.56 × 3,276.91
  4. Step 4: Simplify right side
    9,852.49x = 48,418,090.06
  5. Step 5: Solve for x
    x = 48,418,090.06/9,852.49
  6. Step 6: Final answer
    x = 4,914.30

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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.