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Finding the Fourth Proportional to 9,353.40, 14,001.30 and 7,683

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Solution

The fourth proportional to 9,353.40, 14,001.30 and 7,683 is: 11,500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.40 : 14,001.30 = 7,683 : x
  2. Step 2: Convert to fraction form
    9,353.40/14,001.30 = 7,683/x
  3. Step 3: Cross multiply
    9,353.40x = 14,001.30 × 7,683
  4. Step 4: Simplify right side
    9,353.40x = 107,571,987.90
  5. Step 5: Solve for x
    x = 107,571,987.90/9,353.40
  6. Step 6: Final answer
    x = 11,500.84

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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.