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Finding the Fourth Proportional to 9,533.60, 13,178.40 and 7,952.48

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Solution

The fourth proportional to 9,533.60, 13,178.40 and 7,952.48 is: 10,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.60 : 13,178.40 = 7,952.48 : x
  2. Step 2: Convert to fraction form
    9,533.60/13,178.40 = 7,952.48/x
  3. Step 3: Cross multiply
    9,533.60x = 13,178.40 × 7,952.48
  4. Step 4: Simplify right side
    9,533.60x = 104,800,962.43
  5. Step 5: Solve for x
    x = 104,800,962.43/9,533.60
  6. Step 6: Final answer
    x = 10,992.80

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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.