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Finding the Fourth Proportional to 9,298.62, 12,817.35 and 9,114.30

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Solution

The fourth proportional to 9,298.62, 12,817.35 and 9,114.30 is: 12,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.62 : 12,817.35 = 9,114.30 : x
  2. Step 2: Convert to fraction form
    9,298.62/12,817.35 = 9,114.30/x
  3. Step 3: Cross multiply
    9,298.62x = 12,817.35 × 9,114.30
  4. Step 4: Simplify right side
    9,298.62x = 116,821,173.11
  5. Step 5: Solve for x
    x = 116,821,173.11/9,298.62
  6. Step 6: Final answer
    x = 12,563.28

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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.