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Finding the Fourth Proportional to 6,273.95, 9,409.35 and 2,577.20

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Solution

The fourth proportional to 6,273.95, 9,409.35 and 2,577.20 is: 3,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.95 : 9,409.35 = 2,577.20 : x
  2. Step 2: Convert to fraction form
    6,273.95/9,409.35 = 2,577.20/x
  3. Step 3: Cross multiply
    6,273.95x = 9,409.35 × 2,577.20
  4. Step 4: Simplify right side
    6,273.95x = 24,249,800.34
  5. Step 5: Solve for x
    x = 24,249,800.34/6,273.95
  6. Step 6: Final answer
    x = 3,865.16

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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.