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Finding the Fourth Proportional to 9,157.95, 12,638.04 and 5,380.35

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Solution

The fourth proportional to 9,157.95, 12,638.04 and 5,380.35 is: 7,424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.95 : 12,638.04 = 5,380.35 : x
  2. Step 2: Convert to fraction form
    9,157.95/12,638.04 = 5,380.35/x
  3. Step 3: Cross multiply
    9,157.95x = 12,638.04 × 5,380.35
  4. Step 4: Simplify right side
    9,157.95x = 67,997,078.51
  5. Step 5: Solve for x
    x = 67,997,078.51/9,157.95
  6. Step 6: Final answer
    x = 7,424.92

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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.