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Finding the Fourth Proportional to 9,352.64, 14,026 and 3,111.28

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Solution

The fourth proportional to 9,352.64, 14,026 and 3,111.28 is: 4,665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.64 : 14,026 = 3,111.28 : x
  2. Step 2: Convert to fraction form
    9,352.64/14,026 = 3,111.28/x
  3. Step 3: Cross multiply
    9,352.64x = 14,026 × 3,111.28
  4. Step 4: Simplify right side
    9,352.64x = 43,638,813.28
  5. Step 5: Solve for x
    x = 43,638,813.28/9,352.64
  6. Step 6: Final answer
    x = 4,665.94

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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.