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Finding the Fourth Proportional to 9,112.50, 13,670.91 and 2,956.50

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Solution

The fourth proportional to 9,112.50, 13,670.91 and 2,956.50 is: 4,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.50 : 13,670.91 = 2,956.50 : x
  2. Step 2: Convert to fraction form
    9,112.50/13,670.91 = 2,956.50/x
  3. Step 3: Cross multiply
    9,112.50x = 13,670.91 × 2,956.50
  4. Step 4: Simplify right side
    9,112.50x = 40,418,045.42
  5. Step 5: Solve for x
    x = 40,418,045.42/9,112.50
  6. Step 6: Final answer
    x = 4,435.45

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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.