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Finding the Fourth Proportional to 9,934.96, 13,709.72 and 5,459.28

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Solution

The fourth proportional to 9,934.96, 13,709.72 and 5,459.28 is: 7,533.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.96 : 13,709.72 = 5,459.28 : x
  2. Step 2: Convert to fraction form
    9,934.96/13,709.72 = 5,459.28/x
  3. Step 3: Cross multiply
    9,934.96x = 13,709.72 × 5,459.28
  4. Step 4: Simplify right side
    9,934.96x = 74,845,200.20
  5. Step 5: Solve for x
    x = 74,845,200.20/9,934.96
  6. Step 6: Final answer
    x = 7,533.52

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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.