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Finding the Fourth Proportional to 9,684.08, 14,527.74 and 7,604

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Solution

The fourth proportional to 9,684.08, 14,527.74 and 7,604 is: 11,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.08 : 14,527.74 = 7,604 : x
  2. Step 2: Convert to fraction form
    9,684.08/14,527.74 = 7,604/x
  3. Step 3: Cross multiply
    9,684.08x = 14,527.74 × 7,604
  4. Step 4: Simplify right side
    9,684.08x = 110,468,934.96
  5. Step 5: Solve for x
    x = 110,468,934.96/9,684.08
  6. Step 6: Final answer
    x = 11,407.27

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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.