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Finding the Fourth Proportional to 9,962.80, 14,944.20 and 9,525.40

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Solution

The fourth proportional to 9,962.80, 14,944.20 and 9,525.40 is: 14,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.80 : 14,944.20 = 9,525.40 : x
  2. Step 2: Convert to fraction form
    9,962.80/14,944.20 = 9,525.40/x
  3. Step 3: Cross multiply
    9,962.80x = 14,944.20 × 9,525.40
  4. Step 4: Simplify right side
    9,962.80x = 142,349,482.68
  5. Step 5: Solve for x
    x = 142,349,482.68/9,962.80
  6. Step 6: Final answer
    x = 14,288.10

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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.