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Finding the Fourth Proportional to 6,303.32, 9,456.35 and 1,920.66

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Solution

The fourth proportional to 6,303.32, 9,456.35 and 1,920.66 is: 2,881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.32 : 9,456.35 = 1,920.66 : x
  2. Step 2: Convert to fraction form
    6,303.32/9,456.35 = 1,920.66/x
  3. Step 3: Cross multiply
    6,303.32x = 9,456.35 × 1,920.66
  4. Step 4: Simplify right side
    6,303.32x = 18,162,423.59
  5. Step 5: Solve for x
    x = 18,162,423.59/6,303.32
  6. Step 6: Final answer
    x = 2,881.41

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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.