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Finding the Fourth Proportional to 9,817.20, 14,725.80 and 7,322.40

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Solution

The fourth proportional to 9,817.20, 14,725.80 and 7,322.40 is: 10,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.20 : 14,725.80 = 7,322.40 : x
  2. Step 2: Convert to fraction form
    9,817.20/14,725.80 = 7,322.40/x
  3. Step 3: Cross multiply
    9,817.20x = 14,725.80 × 7,322.40
  4. Step 4: Simplify right side
    9,817.20x = 107,828,197.92
  5. Step 5: Solve for x
    x = 107,828,197.92/9,817.20
  6. Step 6: Final answer
    x = 10,983.60

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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.