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Finding the Fourth Proportional to 9,973.77, 14,956.10 and 2,951.29

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Solution

The fourth proportional to 9,973.77, 14,956.10 and 2,951.29 is: 4,425.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.77 : 14,956.10 = 2,951.29 : x
  2. Step 2: Convert to fraction form
    9,973.77/14,956.10 = 2,951.29/x
  3. Step 3: Cross multiply
    9,973.77x = 14,956.10 × 2,951.29
  4. Step 4: Simplify right side
    9,973.77x = 44,139,698.83
  5. Step 5: Solve for x
    x = 44,139,698.83/9,973.77
  6. Step 6: Final answer
    x = 4,425.58

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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.