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Finding the Fourth Proportional to 9,505, 14,244.06 and 4,570.60

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Solution

The fourth proportional to 9,505, 14,244.06 and 4,570.60 is: 6,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505 : 14,244.06 = 4,570.60 : x
  2. Step 2: Convert to fraction form
    9,505/14,244.06 = 4,570.60/x
  3. Step 3: Cross multiply
    9,505x = 14,244.06 × 4,570.60
  4. Step 4: Simplify right side
    9,505x = 65,103,900.64
  5. Step 5: Solve for x
    x = 65,103,900.64/9,505
  6. Step 6: Final answer
    x = 6,849.44

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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.