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Finding the Fourth Proportional to 9,852.99, 14,776.31 and 3,277.41

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Solution

The fourth proportional to 9,852.99, 14,776.31 and 3,277.41 is: 4,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.99 : 14,776.31 = 3,277.41 : x
  2. Step 2: Convert to fraction form
    9,852.99/14,776.31 = 3,277.41/x
  3. Step 3: Cross multiply
    9,852.99x = 14,776.31 × 3,277.41
  4. Step 4: Simplify right side
    9,852.99x = 48,427,935.89
  5. Step 5: Solve for x
    x = 48,427,935.89/9,852.99
  6. Step 6: Final answer
    x = 4,915.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.