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Finding the Fourth Proportional to 9,926.02, 14,881.74 and 4,735.54

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Solution

The fourth proportional to 9,926.02, 14,881.74 and 4,735.54 is: 7,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.02 : 14,881.74 = 4,735.54 : x
  2. Step 2: Convert to fraction form
    9,926.02/14,881.74 = 4,735.54/x
  3. Step 3: Cross multiply
    9,926.02x = 14,881.74 × 4,735.54
  4. Step 4: Simplify right side
    9,926.02x = 70,473,075.04
  5. Step 5: Solve for x
    x = 70,473,075.04/9,926.02
  6. Step 6: Final answer
    x = 7,099.83

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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.