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Finding the Fourth Proportional to 6,430.27, 8,871.16 and 4,191.36

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Solution

The fourth proportional to 6,430.27, 8,871.16 and 4,191.36 is: 5,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.27 : 8,871.16 = 4,191.36 : x
  2. Step 2: Convert to fraction form
    6,430.27/8,871.16 = 4,191.36/x
  3. Step 3: Cross multiply
    6,430.27x = 8,871.16 × 4,191.36
  4. Step 4: Simplify right side
    6,430.27x = 37,182,225.18
  5. Step 5: Solve for x
    x = 37,182,225.18/6,430.27
  6. Step 6: Final answer
    x = 5,782.37

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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.