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Finding the Fourth Proportional to 6,328.01, 9,492.32 and 1,945.50

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Solution

The fourth proportional to 6,328.01, 9,492.32 and 1,945.50 is: 2,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.01 : 9,492.32 = 1,945.50 : x
  2. Step 2: Convert to fraction form
    6,328.01/9,492.32 = 1,945.50/x
  3. Step 3: Cross multiply
    6,328.01x = 9,492.32 × 1,945.50
  4. Step 4: Simplify right side
    6,328.01x = 18,467,298.83
  5. Step 5: Solve for x
    x = 18,467,298.83/6,328.01
  6. Step 6: Final answer
    x = 2,918.34

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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.