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Finding the Fourth Proportional to 9,468.94, 14,203.46 and 2,895.10

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Solution

The fourth proportional to 9,468.94, 14,203.46 and 2,895.10 is: 4,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.94 : 14,203.46 = 2,895.10 : x
  2. Step 2: Convert to fraction form
    9,468.94/14,203.46 = 2,895.10/x
  3. Step 3: Cross multiply
    9,468.94x = 14,203.46 × 2,895.10
  4. Step 4: Simplify right side
    9,468.94x = 41,120,437.05
  5. Step 5: Solve for x
    x = 41,120,437.05/9,468.94
  6. Step 6: Final answer
    x = 4,342.67

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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.