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Finding the Fourth Proportional to 9,934.93, 13,709.67 and 5,459.29

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Solution

The fourth proportional to 9,934.93, 13,709.67 and 5,459.29 is: 7,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.93 : 13,709.67 = 5,459.29 : x
  2. Step 2: Convert to fraction form
    9,934.93/13,709.67 = 5,459.29/x
  3. Step 3: Cross multiply
    9,934.93x = 13,709.67 × 5,459.29
  4. Step 4: Simplify right side
    9,934.93x = 74,845,064.33
  5. Step 5: Solve for x
    x = 74,845,064.33/9,934.93
  6. Step 6: Final answer
    x = 7,533.53

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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.