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Finding the Fourth Proportional to 9,306, 13,953.24 and 4,376.64

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Solution

The fourth proportional to 9,306, 13,953.24 and 4,376.64 is: 6,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306 : 13,953.24 = 4,376.64 : x
  2. Step 2: Convert to fraction form
    9,306/13,953.24 = 4,376.64/x
  3. Step 3: Cross multiply
    9,306x = 13,953.24 × 4,376.64
  4. Step 4: Simplify right side
    9,306x = 61,068,308.31
  5. Step 5: Solve for x
    x = 61,068,308.31/9,306
  6. Step 6: Final answer
    x = 6,562.25

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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.