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Finding the Fourth Proportional to 9,457.44, 14,184.72 and 3,300

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Solution

The fourth proportional to 9,457.44, 14,184.72 and 3,300 is: 4,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.44 : 14,184.72 = 3,300 : x
  2. Step 2: Convert to fraction form
    9,457.44/14,184.72 = 3,300/x
  3. Step 3: Cross multiply
    9,457.44x = 14,184.72 × 3,300
  4. Step 4: Simplify right side
    9,457.44x = 46,809,576
  5. Step 5: Solve for x
    x = 46,809,576/9,457.44
  6. Step 6: Final answer
    x = 4,949.50

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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.