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Finding the Fourth Proportional to 9,539.36, 14,314.50 and 7,453.52

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Solution

The fourth proportional to 9,539.36, 14,314.50 and 7,453.52 is: 11,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.36 : 14,314.50 = 7,453.52 : x
  2. Step 2: Convert to fraction form
    9,539.36/14,314.50 = 7,453.52/x
  3. Step 3: Cross multiply
    9,539.36x = 14,314.50 × 7,453.52
  4. Step 4: Simplify right side
    9,539.36x = 106,693,412.04
  5. Step 5: Solve for x
    x = 106,693,412.04/9,539.36
  6. Step 6: Final answer
    x = 11,184.55

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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.