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Finding the Fourth Proportional to 9,430.24, 14,133.06 and 3,877.24

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Solution

The fourth proportional to 9,430.24, 14,133.06 and 3,877.24 is: 5,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.24 : 14,133.06 = 3,877.24 : x
  2. Step 2: Convert to fraction form
    9,430.24/14,133.06 = 3,877.24/x
  3. Step 3: Cross multiply
    9,430.24x = 14,133.06 × 3,877.24
  4. Step 4: Simplify right side
    9,430.24x = 54,797,265.55
  5. Step 5: Solve for x
    x = 54,797,265.55/9,430.24
  6. Step 6: Final answer
    x = 5,810.80

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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.