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Finding the Fourth Proportional to 9,630, 14,445.72 and 5,468.40

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Solution

The fourth proportional to 9,630, 14,445.72 and 5,468.40 is: 8,203.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630 : 14,445.72 = 5,468.40 : x
  2. Step 2: Convert to fraction form
    9,630/14,445.72 = 5,468.40/x
  3. Step 3: Cross multiply
    9,630x = 14,445.72 × 5,468.40
  4. Step 4: Simplify right side
    9,630x = 78,994,975.25
  5. Step 5: Solve for x
    x = 78,994,975.25/9,630
  6. Step 6: Final answer
    x = 8,203.01

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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.