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Finding the Fourth Proportional to 9,482.58, 14,204.40 and 7,623.66

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Solution

The fourth proportional to 9,482.58, 14,204.40 and 7,623.66 is: 11,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.58 : 14,204.40 = 7,623.66 : x
  2. Step 2: Convert to fraction form
    9,482.58/14,204.40 = 7,623.66/x
  3. Step 3: Cross multiply
    9,482.58x = 14,204.40 × 7,623.66
  4. Step 4: Simplify right side
    9,482.58x = 108,289,516.10
  5. Step 5: Solve for x
    x = 108,289,516.10/9,482.58
  6. Step 6: Final answer
    x = 11,419.84

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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.