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Finding the Fourth Proportional to 9,301.30, 13,918.52 and 6,830

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Solution

The fourth proportional to 9,301.30, 13,918.52 and 6,830 is: 10,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.30 : 13,918.52 = 6,830 : x
  2. Step 2: Convert to fraction form
    9,301.30/13,918.52 = 6,830/x
  3. Step 3: Cross multiply
    9,301.30x = 13,918.52 × 6,830
  4. Step 4: Simplify right side
    9,301.30x = 95,063,491.60
  5. Step 5: Solve for x
    x = 95,063,491.60/9,301.30
  6. Step 6: Final answer
    x = 10,220.45

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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.