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Finding the Fourth Proportional to 9,402.40, 14,107.20 and 9,254.80

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Solution

The fourth proportional to 9,402.40, 14,107.20 and 9,254.80 is: 13,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.40 : 14,107.20 = 9,254.80 : x
  2. Step 2: Convert to fraction form
    9,402.40/14,107.20 = 9,254.80/x
  3. Step 3: Cross multiply
    9,402.40x = 14,107.20 × 9,254.80
  4. Step 4: Simplify right side
    9,402.40x = 130,559,314.56
  5. Step 5: Solve for x
    x = 130,559,314.56/9,402.40
  6. Step 6: Final answer
    x = 13,885.74

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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.