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Finding the Fourth Proportional to 9,465.64, 13,058.74 and 6,280.44

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Solution

The fourth proportional to 9,465.64, 13,058.74 and 6,280.44 is: 8,664.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.64 : 13,058.74 = 6,280.44 : x
  2. Step 2: Convert to fraction form
    9,465.64/13,058.74 = 6,280.44/x
  3. Step 3: Cross multiply
    9,465.64x = 13,058.74 × 6,280.44
  4. Step 4: Simplify right side
    9,465.64x = 82,014,633.05
  5. Step 5: Solve for x
    x = 82,014,633.05/9,465.64
  6. Step 6: Final answer
    x = 8,664.46

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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.