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Finding the Fourth Proportional to 6,303.34, 9,454.40 and 1,920.84

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Solution

The fourth proportional to 6,303.34, 9,454.40 and 1,920.84 is: 2,881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.34 : 9,454.40 = 1,920.84 : x
  2. Step 2: Convert to fraction form
    6,303.34/9,454.40 = 1,920.84/x
  3. Step 3: Cross multiply
    6,303.34x = 9,454.40 × 1,920.84
  4. Step 4: Simplify right side
    6,303.34x = 18,160,389.70
  5. Step 5: Solve for x
    x = 18,160,389.70/6,303.34
  6. Step 6: Final answer
    x = 2,881.07

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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.