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Finding the Fourth Proportional to 6,281.64, 9,420.26 and 1,838.08

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Solution

The fourth proportional to 6,281.64, 9,420.26 and 1,838.08 is: 2,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.64 : 9,420.26 = 1,838.08 : x
  2. Step 2: Convert to fraction form
    6,281.64/9,420.26 = 1,838.08/x
  3. Step 3: Cross multiply
    6,281.64x = 9,420.26 × 1,838.08
  4. Step 4: Simplify right side
    6,281.64x = 17,315,158.76
  5. Step 5: Solve for x
    x = 17,315,158.76/6,281.64
  6. Step 6: Final answer
    x = 2,756.47

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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.