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Finding the Fourth Proportional to 9,630.72, 13,289.94 and 5,438.16

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Solution

The fourth proportional to 9,630.72, 13,289.94 and 5,438.16 is: 7,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.72 : 13,289.94 = 5,438.16 : x
  2. Step 2: Convert to fraction form
    9,630.72/13,289.94 = 5,438.16/x
  3. Step 3: Cross multiply
    9,630.72x = 13,289.94 × 5,438.16
  4. Step 4: Simplify right side
    9,630.72x = 72,272,820.11
  5. Step 5: Solve for x
    x = 72,272,820.11/9,630.72
  6. Step 6: Final answer
    x = 7,504.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.