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Finding the Fourth Proportional to 9,482.14, 14,225.04 and 3,638.29

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Solution

The fourth proportional to 9,482.14, 14,225.04 and 3,638.29 is: 5,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.14 : 14,225.04 = 3,638.29 : x
  2. Step 2: Convert to fraction form
    9,482.14/14,225.04 = 3,638.29/x
  3. Step 3: Cross multiply
    9,482.14x = 14,225.04 × 3,638.29
  4. Step 4: Simplify right side
    9,482.14x = 51,754,811.69
  5. Step 5: Solve for x
    x = 51,754,811.69/9,482.14
  6. Step 6: Final answer
    x = 5,458.14

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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.