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Finding the Fourth Proportional to 9,812.96, 14,712.24 and 4,616

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Solution

The fourth proportional to 9,812.96, 14,712.24 and 4,616 is: 6,920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.96 : 14,712.24 = 4,616 : x
  2. Step 2: Convert to fraction form
    9,812.96/14,712.24 = 4,616/x
  3. Step 3: Cross multiply
    9,812.96x = 14,712.24 × 4,616
  4. Step 4: Simplify right side
    9,812.96x = 67,911,699.84
  5. Step 5: Solve for x
    x = 67,911,699.84/9,812.96
  6. Step 6: Final answer
    x = 6,920.61

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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.