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Finding the Fourth Proportional to 9,544.61, 14,321.16 and 3,701.67

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Solution

The fourth proportional to 9,544.61, 14,321.16 and 3,701.67 is: 5,554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.61 : 14,321.16 = 3,701.67 : x
  2. Step 2: Convert to fraction form
    9,544.61/14,321.16 = 3,701.67/x
  3. Step 3: Cross multiply
    9,544.61x = 14,321.16 × 3,701.67
  4. Step 4: Simplify right side
    9,544.61x = 53,012,208.34
  5. Step 5: Solve for x
    x = 53,012,208.34/9,544.61
  6. Step 6: Final answer
    x = 5,554.15

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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.