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Finding the Fourth Proportional to 9,280.90, 13,913.53 and 6,311.03

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Solution

The fourth proportional to 9,280.90, 13,913.53 and 6,311.03 is: 9,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.90 : 13,913.53 = 6,311.03 : x
  2. Step 2: Convert to fraction form
    9,280.90/13,913.53 = 6,311.03/x
  3. Step 3: Cross multiply
    9,280.90x = 13,913.53 × 6,311.03
  4. Step 4: Simplify right side
    9,280.90x = 87,808,619.89
  5. Step 5: Solve for x
    x = 87,808,619.89/9,280.90
  6. Step 6: Final answer
    x = 9,461.22

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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.