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Finding the Fourth Proportional to 9,492.51, 14,242.44 and 3,944.43

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Solution

The fourth proportional to 9,492.51, 14,242.44 and 3,944.43 is: 5,918.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.51 : 14,242.44 = 3,944.43 : x
  2. Step 2: Convert to fraction form
    9,492.51/14,242.44 = 3,944.43/x
  3. Step 3: Cross multiply
    9,492.51x = 14,242.44 × 3,944.43
  4. Step 4: Simplify right side
    9,492.51x = 56,178,307.61
  5. Step 5: Solve for x
    x = 56,178,307.61/9,492.51
  6. Step 6: Final answer
    x = 5,918.17

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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.