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Finding the Fourth Proportional to 6,201.63, 8,549.82 and 4,430.16

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Solution

The fourth proportional to 6,201.63, 8,549.82 and 4,430.16 is: 6,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.63 : 8,549.82 = 4,430.16 : x
  2. Step 2: Convert to fraction form
    6,201.63/8,549.82 = 4,430.16/x
  3. Step 3: Cross multiply
    6,201.63x = 8,549.82 × 4,430.16
  4. Step 4: Simplify right side
    6,201.63x = 37,877,070.57
  5. Step 5: Solve for x
    x = 37,877,070.57/6,201.63
  6. Step 6: Final answer
    x = 6,107.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.