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Finding the Fourth Proportional to 9,755.10, 14,629.14 and 4,206.06

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Solution

The fourth proportional to 9,755.10, 14,629.14 and 4,206.06 is: 6,307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.10 : 14,629.14 = 4,206.06 : x
  2. Step 2: Convert to fraction form
    9,755.10/14,629.14 = 4,206.06/x
  3. Step 3: Cross multiply
    9,755.10x = 14,629.14 × 4,206.06
  4. Step 4: Simplify right side
    9,755.10x = 61,531,040.59
  5. Step 5: Solve for x
    x = 61,531,040.59/9,755.10
  6. Step 6: Final answer
    x = 6,307.58

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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.