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Finding the Fourth Proportional to 9,459, 14,170.02 and 7,256.94

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Solution

The fourth proportional to 9,459, 14,170.02 and 7,256.94 is: 10,871.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459 : 14,170.02 = 7,256.94 : x
  2. Step 2: Convert to fraction form
    9,459/14,170.02 = 7,256.94/x
  3. Step 3: Cross multiply
    9,459x = 14,170.02 × 7,256.94
  4. Step 4: Simplify right side
    9,459x = 102,830,984.94
  5. Step 5: Solve for x
    x = 102,830,984.94/9,459
  6. Step 6: Final answer
    x = 10,871.23

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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.