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Finding the Fourth Proportional to 9,563.60, 14,321.10 and 9,126.20

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Solution

The fourth proportional to 9,563.60, 14,321.10 and 9,126.20 is: 13,666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.60 : 14,321.10 = 9,126.20 : x
  2. Step 2: Convert to fraction form
    9,563.60/14,321.10 = 9,126.20/x
  3. Step 3: Cross multiply
    9,563.60x = 14,321.10 × 9,126.20
  4. Step 4: Simplify right side
    9,563.60x = 130,697,222.82
  5. Step 5: Solve for x
    x = 130,697,222.82/9,563.60
  6. Step 6: Final answer
    x = 13,666.11

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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.