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Finding the Fourth Proportional to 9,892.98, 14,840.91 and 2,968.02

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Solution

The fourth proportional to 9,892.98, 14,840.91 and 2,968.02 is: 4,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.98 : 14,840.91 = 2,968.02 : x
  2. Step 2: Convert to fraction form
    9,892.98/14,840.91 = 2,968.02/x
  3. Step 3: Cross multiply
    9,892.98x = 14,840.91 × 2,968.02
  4. Step 4: Simplify right side
    9,892.98x = 44,048,117.70
  5. Step 5: Solve for x
    x = 44,048,117.70/9,892.98
  6. Step 6: Final answer
    x = 4,452.46

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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.