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Finding the Fourth Proportional to 9,639.54, 14,461.54 and 2,975.77

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Solution

The fourth proportional to 9,639.54, 14,461.54 and 2,975.77 is: 4,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.54 : 14,461.54 = 2,975.77 : x
  2. Step 2: Convert to fraction form
    9,639.54/14,461.54 = 2,975.77/x
  3. Step 3: Cross multiply
    9,639.54x = 14,461.54 × 2,975.77
  4. Step 4: Simplify right side
    9,639.54x = 43,034,227.52
  5. Step 5: Solve for x
    x = 43,034,227.52/9,639.54
  6. Step 6: Final answer
    x = 4,464.34

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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.