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Finding the Fourth Proportional to 10,838.75, 14,900.05 and 9,320.74

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Solution

The fourth proportional to 10,838.75, 14,900.05 and 9,320.74 is: 12,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.75 : 14,900.05 = 9,320.74 : x
  2. Step 2: Convert to fraction form
    10,838.75/14,900.05 = 9,320.74/x
  3. Step 3: Cross multiply
    10,838.75x = 14,900.05 × 9,320.74
  4. Step 4: Simplify right side
    10,838.75x = 138,879,466.44
  5. Step 5: Solve for x
    x = 138,879,466.44/10,838.75
  6. Step 6: Final answer
    x = 12,813.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.