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Finding the Fourth Proportional to 9,929.67, 13,703.09 and 5,453.84

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Solution

The fourth proportional to 9,929.67, 13,703.09 and 5,453.84 is: 7,526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.67 : 13,703.09 = 5,453.84 : x
  2. Step 2: Convert to fraction form
    9,929.67/13,703.09 = 5,453.84/x
  3. Step 3: Cross multiply
    9,929.67x = 13,703.09 × 5,453.84
  4. Step 4: Simplify right side
    9,929.67x = 74,734,364.58
  5. Step 5: Solve for x
    x = 74,734,364.58/9,929.67
  6. Step 6: Final answer
    x = 7,526.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.