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Finding the Fourth Proportional to 9,492.93, 14,244.50 and 3,950.10

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Solution

The fourth proportional to 9,492.93, 14,244.50 and 3,950.10 is: 5,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.93 : 14,244.50 = 3,950.10 : x
  2. Step 2: Convert to fraction form
    9,492.93/14,244.50 = 3,950.10/x
  3. Step 3: Cross multiply
    9,492.93x = 14,244.50 × 3,950.10
  4. Step 4: Simplify right side
    9,492.93x = 56,267,199.45
  5. Step 5: Solve for x
    x = 56,267,199.45/9,492.93
  6. Step 6: Final answer
    x = 5,927.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.