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Finding the Fourth Proportional to 9,482.12, 14,225.01 and 3,638.28

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Solution

The fourth proportional to 9,482.12, 14,225.01 and 3,638.28 is: 5,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.12 : 14,225.01 = 3,638.28 : x
  2. Step 2: Convert to fraction form
    9,482.12/14,225.01 = 3,638.28/x
  3. Step 3: Cross multiply
    9,482.12x = 14,225.01 × 3,638.28
  4. Step 4: Simplify right side
    9,482.12x = 51,754,569.38
  5. Step 5: Solve for x
    x = 51,754,569.38/9,482.12
  6. Step 6: Final answer
    x = 5,458.13

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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.