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Finding the Fourth Proportional to 9,506.67, 14,252.72 and 5,810.64

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Solution

The fourth proportional to 9,506.67, 14,252.72 and 5,810.64 is: 8,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.67 : 14,252.72 = 5,810.64 : x
  2. Step 2: Convert to fraction form
    9,506.67/14,252.72 = 5,810.64/x
  3. Step 3: Cross multiply
    9,506.67x = 14,252.72 × 5,810.64
  4. Step 4: Simplify right side
    9,506.67x = 82,817,395.89
  5. Step 5: Solve for x
    x = 82,817,395.89/9,506.67
  6. Step 6: Final answer
    x = 8,711.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.