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Finding the Fourth Proportional to 10,075.75, 13,911.31 and 9,010.19

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Solution

The fourth proportional to 10,075.75, 13,911.31 and 9,010.19 is: 12,440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.75 : 13,911.31 = 9,010.19 : x
  2. Step 2: Convert to fraction form
    10,075.75/13,911.31 = 9,010.19/x
  3. Step 3: Cross multiply
    10,075.75x = 13,911.31 × 9,010.19
  4. Step 4: Simplify right side
    10,075.75x = 125,343,546.25
  5. Step 5: Solve for x
    x = 125,343,546.25/10,075.75
  6. Step 6: Final answer
    x = 12,440.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.