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Finding the Fourth Proportional to 9,492.19, 14,238.28 and 2,566.69

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Solution

The fourth proportional to 9,492.19, 14,238.28 and 2,566.69 is: 3,850.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.19 : 14,238.28 = 2,566.69 : x
  2. Step 2: Convert to fraction form
    9,492.19/14,238.28 = 2,566.69/x
  3. Step 3: Cross multiply
    9,492.19x = 14,238.28 × 2,566.69
  4. Step 4: Simplify right side
    9,492.19x = 36,545,218.51
  5. Step 5: Solve for x
    x = 36,545,218.51/9,492.19
  6. Step 6: Final answer
    x = 3,850.03

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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.