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Finding the Fourth Proportional to 9,214.29, 12,720.99 and 6,075.95

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Solution

The fourth proportional to 9,214.29, 12,720.99 and 6,075.95 is: 8,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.29 : 12,720.99 = 6,075.95 : x
  2. Step 2: Convert to fraction form
    9,214.29/12,720.99 = 6,075.95/x
  3. Step 3: Cross multiply
    9,214.29x = 12,720.99 × 6,075.95
  4. Step 4: Simplify right side
    9,214.29x = 77,292,099.19
  5. Step 5: Solve for x
    x = 77,292,099.19/9,214.29
  6. Step 6: Final answer
    x = 8,388.29

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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.