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Finding the Fourth Proportional to 9,164.75, 13,756.23 and 4,235.49

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Solution

The fourth proportional to 9,164.75, 13,756.23 and 4,235.49 is: 6,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.75 : 13,756.23 = 4,235.49 : x
  2. Step 2: Convert to fraction form
    9,164.75/13,756.23 = 4,235.49/x
  3. Step 3: Cross multiply
    9,164.75x = 13,756.23 × 4,235.49
  4. Step 4: Simplify right side
    9,164.75x = 58,264,374.60
  5. Step 5: Solve for x
    x = 58,264,374.60/9,164.75
  6. Step 6: Final answer
    x = 6,357.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.