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Finding the Fourth Proportional to 9,455.94, 14,181.03 and 3,298.50

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Solution

The fourth proportional to 9,455.94, 14,181.03 and 3,298.50 is: 4,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455.94 : 14,181.03 = 3,298.50 : x
  2. Step 2: Convert to fraction form
    9,455.94/14,181.03 = 3,298.50/x
  3. Step 3: Cross multiply
    9,455.94x = 14,181.03 × 3,298.50
  4. Step 4: Simplify right side
    9,455.94x = 46,776,127.46
  5. Step 5: Solve for x
    x = 46,776,127.46/9,455.94
  6. Step 6: Final answer
    x = 4,946.75

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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.