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Finding the Fourth Proportional to 9,157.32, 13,735.98 and 3,312.57

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Solution

The fourth proportional to 9,157.32, 13,735.98 and 3,312.57 is: 4,968.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.32 : 13,735.98 = 3,312.57 : x
  2. Step 2: Convert to fraction form
    9,157.32/13,735.98 = 3,312.57/x
  3. Step 3: Cross multiply
    9,157.32x = 13,735.98 × 3,312.57
  4. Step 4: Simplify right side
    9,157.32x = 45,501,395.27
  5. Step 5: Solve for x
    x = 45,501,395.27/9,157.32
  6. Step 6: Final answer
    x = 4,968.86

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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.