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Finding the Fourth Proportional to 9,461.12, 13,056.03 and 5,632.74

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Solution

The fourth proportional to 9,461.12, 13,056.03 and 5,632.74 is: 7,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.12 : 13,056.03 = 5,632.74 : x
  2. Step 2: Convert to fraction form
    9,461.12/13,056.03 = 5,632.74/x
  3. Step 3: Cross multiply
    9,461.12x = 13,056.03 × 5,632.74
  4. Step 4: Simplify right side
    9,461.12x = 73,541,222.42
  5. Step 5: Solve for x
    x = 73,541,222.42/9,461.12
  6. Step 6: Final answer
    x = 7,772.99

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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.