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Finding the Fourth Proportional to 9,102.30, 12,554.70 and 6,075.90

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Solution

The fourth proportional to 9,102.30, 12,554.70 and 6,075.90 is: 8,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.30 : 12,554.70 = 6,075.90 : x
  2. Step 2: Convert to fraction form
    9,102.30/12,554.70 = 6,075.90/x
  3. Step 3: Cross multiply
    9,102.30x = 12,554.70 × 6,075.90
  4. Step 4: Simplify right side
    9,102.30x = 76,281,077.43
  5. Step 5: Solve for x
    x = 76,281,077.43/9,102.30
  6. Step 6: Final answer
    x = 8,380.42

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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.