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Finding the Fourth Proportional to 9,995.84, 14,973.24 and 4,735.70

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Solution

The fourth proportional to 9,995.84, 14,973.24 and 4,735.70 is: 7,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.84 : 14,973.24 = 4,735.70 : x
  2. Step 2: Convert to fraction form
    9,995.84/14,973.24 = 4,735.70/x
  3. Step 3: Cross multiply
    9,995.84x = 14,973.24 × 4,735.70
  4. Step 4: Simplify right side
    9,995.84x = 70,908,772.67
  5. Step 5: Solve for x
    x = 70,908,772.67/9,995.84
  6. Step 6: Final answer
    x = 7,093.83

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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.