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Finding the Fourth Proportional to 9,642.56, 14,453.94 and 4,706.11

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Solution

The fourth proportional to 9,642.56, 14,453.94 and 4,706.11 is: 7,054.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.56 : 14,453.94 = 4,706.11 : x
  2. Step 2: Convert to fraction form
    9,642.56/14,453.94 = 4,706.11/x
  3. Step 3: Cross multiply
    9,642.56x = 14,453.94 × 4,706.11
  4. Step 4: Simplify right side
    9,642.56x = 68,021,867.29
  5. Step 5: Solve for x
    x = 68,021,867.29/9,642.56
  6. Step 6: Final answer
    x = 7,054.34

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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.