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Finding the Fourth Proportional to 9,210.30, 13,822.50 and 6,751.44

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Solution

The fourth proportional to 9,210.30, 13,822.50 and 6,751.44 is: 10,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.30 : 13,822.50 = 6,751.44 : x
  2. Step 2: Convert to fraction form
    9,210.30/13,822.50 = 6,751.44/x
  3. Step 3: Cross multiply
    9,210.30x = 13,822.50 × 6,751.44
  4. Step 4: Simplify right side
    9,210.30x = 93,321,779.40
  5. Step 5: Solve for x
    x = 93,321,779.40/9,210.30
  6. Step 6: Final answer
    x = 10,132.33

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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.