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Finding the Fourth Proportional to 9,533.79, 13,156.74 and 5,342.31

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Solution

The fourth proportional to 9,533.79, 13,156.74 and 5,342.31 is: 7,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.79 : 13,156.74 = 5,342.31 : x
  2. Step 2: Convert to fraction form
    9,533.79/13,156.74 = 5,342.31/x
  3. Step 3: Cross multiply
    9,533.79x = 13,156.74 × 5,342.31
  4. Step 4: Simplify right side
    9,533.79x = 70,287,383.67
  5. Step 5: Solve for x
    x = 70,287,383.67/9,533.79
  6. Step 6: Final answer
    x = 7,372.45

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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.