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Finding the Fourth Proportional to 9,888, 14,832 and 2,962.50

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Solution

The fourth proportional to 9,888, 14,832 and 2,962.50 is: 4,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888 : 14,832 = 2,962.50 : x
  2. Step 2: Convert to fraction form
    9,888/14,832 = 2,962.50/x
  3. Step 3: Cross multiply
    9,888x = 14,832 × 2,962.50
  4. Step 4: Simplify right side
    9,888x = 43,939,800
  5. Step 5: Solve for x
    x = 43,939,800/9,888
  6. Step 6: Final answer
    x = 4,443.75

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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.