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Finding the Fourth Proportional to 6,385.10, 9,577.52 and 4,503.26

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Solution

The fourth proportional to 6,385.10, 9,577.52 and 4,503.26 is: 6,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.10 : 9,577.52 = 4,503.26 : x
  2. Step 2: Convert to fraction form
    6,385.10/9,577.52 = 4,503.26/x
  3. Step 3: Cross multiply
    6,385.10x = 9,577.52 × 4,503.26
  4. Step 4: Simplify right side
    6,385.10x = 43,130,062.72
  5. Step 5: Solve for x
    x = 43,130,062.72/6,385.10
  6. Step 6: Final answer
    x = 6,754.80

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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.