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Finding the Fourth Proportional to 6,144.19, 9,216.32 and 1,527.19

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Solution

The fourth proportional to 6,144.19, 9,216.32 and 1,527.19 is: 2,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.19 : 9,216.32 = 1,527.19 : x
  2. Step 2: Convert to fraction form
    6,144.19/9,216.32 = 1,527.19/x
  3. Step 3: Cross multiply
    6,144.19x = 9,216.32 × 1,527.19
  4. Step 4: Simplify right side
    6,144.19x = 14,075,041.06
  5. Step 5: Solve for x
    x = 14,075,041.06/6,144.19
  6. Step 6: Final answer
    x = 2,290.79

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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.