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Finding the Fourth Proportional to 9,652.36, 14,462.64 and 8,845.36

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Solution

The fourth proportional to 9,652.36, 14,462.64 and 8,845.36 is: 13,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.36 : 14,462.64 = 8,845.36 : x
  2. Step 2: Convert to fraction form
    9,652.36/14,462.64 = 8,845.36/x
  3. Step 3: Cross multiply
    9,652.36x = 14,462.64 × 8,845.36
  4. Step 4: Simplify right side
    9,652.36x = 127,927,257.35
  5. Step 5: Solve for x
    x = 127,927,257.35/9,652.36
  6. Step 6: Final answer
    x = 13,253.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.