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Finding the Fourth Proportional to 9,975.70, 14,962.44 and 2,580.20

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Solution

The fourth proportional to 9,975.70, 14,962.44 and 2,580.20 is: 3,870.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.70 : 14,962.44 = 2,580.20 : x
  2. Step 2: Convert to fraction form
    9,975.70/14,962.44 = 2,580.20/x
  3. Step 3: Cross multiply
    9,975.70x = 14,962.44 × 2,580.20
  4. Step 4: Simplify right side
    9,975.70x = 38,606,087.69
  5. Step 5: Solve for x
    x = 38,606,087.69/9,975.70
  6. Step 6: Final answer
    x = 3,870.01

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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.