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Finding the Fourth Proportional to 9,672, 14,508.16 and 4,200

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Solution

The fourth proportional to 9,672, 14,508.16 and 4,200 is: 6,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672 : 14,508.16 = 4,200 : x
  2. Step 2: Convert to fraction form
    9,672/14,508.16 = 4,200/x
  3. Step 3: Cross multiply
    9,672x = 14,508.16 × 4,200
  4. Step 4: Simplify right side
    9,672x = 60,934,272
  5. Step 5: Solve for x
    x = 60,934,272/9,672
  6. Step 6: Final answer
    x = 6,300.07

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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.