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Finding the Fourth Proportional to 10,782.84, 14,847.66 and 9,207.48

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Solution

The fourth proportional to 10,782.84, 14,847.66 and 9,207.48 is: 12,678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.84 : 14,847.66 = 9,207.48 : x
  2. Step 2: Convert to fraction form
    10,782.84/14,847.66 = 9,207.48/x
  3. Step 3: Cross multiply
    10,782.84x = 14,847.66 × 9,207.48
  4. Step 4: Simplify right side
    10,782.84x = 136,709,532.50
  5. Step 5: Solve for x
    x = 136,709,532.50/10,782.84
  6. Step 6: Final answer
    x = 12,678.43

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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.