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Finding the Fourth Proportional to 6,184.42, 9,276.62 and 1,504.40

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Solution

The fourth proportional to 6,184.42, 9,276.62 and 1,504.40 is: 2,256.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.42 : 9,276.62 = 1,504.40 : x
  2. Step 2: Convert to fraction form
    6,184.42/9,276.62 = 1,504.40/x
  3. Step 3: Cross multiply
    6,184.42x = 9,276.62 × 1,504.40
  4. Step 4: Simplify right side
    6,184.42x = 13,955,747.13
  5. Step 5: Solve for x
    x = 13,955,747.13/6,184.42
  6. Step 6: Final answer
    x = 2,256.60

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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.