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Finding the Fourth Proportional to 9,160.79, 12,642.80 and 5,576.00

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Solution

The fourth proportional to 9,160.79, 12,642.80 and 5,576.00 is: 7,695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.79 : 12,642.80 = 5,576.00 : x
  2. Step 2: Convert to fraction form
    9,160.79/12,642.80 = 5,576.00/x
  3. Step 3: Cross multiply
    9,160.79x = 12,642.80 × 5,576.00
  4. Step 4: Simplify right side
    9,160.79x = 70,496,161.71
  5. Step 5: Solve for x
    x = 70,496,161.71/9,160.79
  6. Step 6: Final answer
    x = 7,695.43

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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.