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Finding the Fourth Proportional to 9,282.50, 12,810.36 and 5,507.90

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Solution

The fourth proportional to 9,282.50, 12,810.36 and 5,507.90 is: 7,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.50 : 12,810.36 = 5,507.90 : x
  2. Step 2: Convert to fraction form
    9,282.50/12,810.36 = 5,507.90/x
  3. Step 3: Cross multiply
    9,282.50x = 12,810.36 × 5,507.90
  4. Step 4: Simplify right side
    9,282.50x = 70,558,181.84
  5. Step 5: Solve for x
    x = 70,558,181.84/9,282.50
  6. Step 6: Final answer
    x = 7,601.20

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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.