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Finding the Fourth Proportional to 9,624.88, 14,431.92 and 4,684

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Solution

The fourth proportional to 9,624.88, 14,431.92 and 4,684 is: 7,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.88 : 14,431.92 = 4,684 : x
  2. Step 2: Convert to fraction form
    9,624.88/14,431.92 = 4,684/x
  3. Step 3: Cross multiply
    9,624.88x = 14,431.92 × 4,684
  4. Step 4: Simplify right side
    9,624.88x = 67,599,113.28
  5. Step 5: Solve for x
    x = 67,599,113.28/9,624.88
  6. Step 6: Final answer
    x = 7,023.37

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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.