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Finding the Fourth Proportional to 9,280.21, 12,802.16 and 5,300.27

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Solution

The fourth proportional to 9,280.21, 12,802.16 and 5,300.27 is: 7,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.21 : 12,802.16 = 5,300.27 : x
  2. Step 2: Convert to fraction form
    9,280.21/12,802.16 = 5,300.27/x
  3. Step 3: Cross multiply
    9,280.21x = 12,802.16 × 5,300.27
  4. Step 4: Simplify right side
    9,280.21x = 67,854,878.08
  5. Step 5: Solve for x
    x = 67,854,878.08/9,280.21
  6. Step 6: Final answer
    x = 7,311.79

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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.