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Finding the Fourth Proportional to 9,530.60, 14,304.60 and 4,853.84

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Solution

The fourth proportional to 9,530.60, 14,304.60 and 4,853.84 is: 7,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.60 : 14,304.60 = 4,853.84 : x
  2. Step 2: Convert to fraction form
    9,530.60/14,304.60 = 4,853.84/x
  3. Step 3: Cross multiply
    9,530.60x = 14,304.60 × 4,853.84
  4. Step 4: Simplify right side
    9,530.60x = 69,432,239.66
  5. Step 5: Solve for x
    x = 69,432,239.66/9,530.60
  6. Step 6: Final answer
    x = 7,285.19

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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.