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Finding the Fourth Proportional to 9,595.94, 14,396.04 and 3,354.50

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Solution

The fourth proportional to 9,595.94, 14,396.04 and 3,354.50 is: 5,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.94 : 14,396.04 = 3,354.50 : x
  2. Step 2: Convert to fraction form
    9,595.94/14,396.04 = 3,354.50/x
  3. Step 3: Cross multiply
    9,595.94x = 14,396.04 × 3,354.50
  4. Step 4: Simplify right side
    9,595.94x = 48,291,516.18
  5. Step 5: Solve for x
    x = 48,291,516.18/9,595.94
  6. Step 6: Final answer
    x = 5,032.49

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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.