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Finding the Fourth Proportional to 9,299.90, 12,834 and 5,050.98

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Solution

The fourth proportional to 9,299.90, 12,834 and 5,050.98 is: 6,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.90 : 12,834 = 5,050.98 : x
  2. Step 2: Convert to fraction form
    9,299.90/12,834 = 5,050.98/x
  3. Step 3: Cross multiply
    9,299.90x = 12,834 × 5,050.98
  4. Step 4: Simplify right side
    9,299.90x = 64,824,277.32
  5. Step 5: Solve for x
    x = 64,824,277.32/9,299.90
  6. Step 6: Final answer
    x = 6,970.43

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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.