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Finding the Fourth Proportional to 9,762.16, 13,467.12 and 9,384.96

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Solution

The fourth proportional to 9,762.16, 13,467.12 and 9,384.96 is: 12,946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.16 : 13,467.12 = 9,384.96 : x
  2. Step 2: Convert to fraction form
    9,762.16/13,467.12 = 9,384.96/x
  3. Step 3: Cross multiply
    9,762.16x = 13,467.12 × 9,384.96
  4. Step 4: Simplify right side
    9,762.16x = 126,388,382.52
  5. Step 5: Solve for x
    x = 126,388,382.52/9,762.16
  6. Step 6: Final answer
    x = 12,946.76

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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.