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Finding the Fourth Proportional to 9,509.64, 14,264.40 and 5,638.56

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Solution

The fourth proportional to 9,509.64, 14,264.40 and 5,638.56 is: 8,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.64 : 14,264.40 = 5,638.56 : x
  2. Step 2: Convert to fraction form
    9,509.64/14,264.40 = 5,638.56/x
  3. Step 3: Cross multiply
    9,509.64x = 14,264.40 × 5,638.56
  4. Step 4: Simplify right side
    9,509.64x = 80,430,675.26
  5. Step 5: Solve for x
    x = 80,430,675.26/9,509.64
  6. Step 6: Final answer
    x = 8,457.80

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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.