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Finding the Fourth Proportional to 9,484.52, 14,214.54 and 4,543.88

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Solution

The fourth proportional to 9,484.52, 14,214.54 and 4,543.88 is: 6,809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.52 : 14,214.54 = 4,543.88 : x
  2. Step 2: Convert to fraction form
    9,484.52/14,214.54 = 4,543.88/x
  3. Step 3: Cross multiply
    9,484.52x = 14,214.54 × 4,543.88
  4. Step 4: Simplify right side
    9,484.52x = 64,589,164.02
  5. Step 5: Solve for x
    x = 64,589,164.02/9,484.52
  6. Step 6: Final answer
    x = 6,809.96

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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.