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Finding the Fourth Proportional to 9,492.53, 14,239.02 and 2,918.76

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Solution

The fourth proportional to 9,492.53, 14,239.02 and 2,918.76 is: 4,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.53 : 14,239.02 = 2,918.76 : x
  2. Step 2: Convert to fraction form
    9,492.53/14,239.02 = 2,918.76/x
  3. Step 3: Cross multiply
    9,492.53x = 14,239.02 × 2,918.76
  4. Step 4: Simplify right side
    9,492.53x = 41,560,282.02
  5. Step 5: Solve for x
    x = 41,560,282.02/9,492.53
  6. Step 6: Final answer
    x = 4,378.21

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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.