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Finding the Fourth Proportional to 9,701.19, 14,553.20 and 3,125.21

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Solution

The fourth proportional to 9,701.19, 14,553.20 and 3,125.21 is: 4,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.19 : 14,553.20 = 3,125.21 : x
  2. Step 2: Convert to fraction form
    9,701.19/14,553.20 = 3,125.21/x
  3. Step 3: Cross multiply
    9,701.19x = 14,553.20 × 3,125.21
  4. Step 4: Simplify right side
    9,701.19x = 45,481,741.22
  5. Step 5: Solve for x
    x = 45,481,741.22/9,701.19
  6. Step 6: Final answer
    x = 4,688.26

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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.