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Finding the Fourth Proportional to 9,147.12, 12,623.04 and 5,421.84

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Solution

The fourth proportional to 9,147.12, 12,623.04 and 5,421.84 is: 7,482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.12 : 12,623.04 = 5,421.84 : x
  2. Step 2: Convert to fraction form
    9,147.12/12,623.04 = 5,421.84/x
  3. Step 3: Cross multiply
    9,147.12x = 12,623.04 × 5,421.84
  4. Step 4: Simplify right side
    9,147.12x = 68,440,103.19
  5. Step 5: Solve for x
    x = 68,440,103.19/9,147.12
  6. Step 6: Final answer
    x = 7,482.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.