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Finding the Fourth Proportional to 9,978.39, 14,963.94 and 2,956.50

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Solution

The fourth proportional to 9,978.39, 14,963.94 and 2,956.50 is: 4,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.39 : 14,963.94 = 2,956.50 : x
  2. Step 2: Convert to fraction form
    9,978.39/14,963.94 = 2,956.50/x
  3. Step 3: Cross multiply
    9,978.39x = 14,963.94 × 2,956.50
  4. Step 4: Simplify right side
    9,978.39x = 44,240,888.61
  5. Step 5: Solve for x
    x = 44,240,888.61/9,978.39
  6. Step 6: Final answer
    x = 4,433.67

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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.