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Finding the Fourth Proportional to 9,725.70, 14,560.20 and 7,271.40

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Solution

The fourth proportional to 9,725.70, 14,560.20 and 7,271.40 is: 10,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.70 : 14,560.20 = 7,271.40 : x
  2. Step 2: Convert to fraction form
    9,725.70/14,560.20 = 7,271.40/x
  3. Step 3: Cross multiply
    9,725.70x = 14,560.20 × 7,271.40
  4. Step 4: Simplify right side
    9,725.70x = 105,873,038.28
  5. Step 5: Solve for x
    x = 105,873,038.28/9,725.70
  6. Step 6: Final answer
    x = 10,885.90

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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.