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Finding the Fourth Proportional to 9,811.68, 14,703.18 and 4,548.30

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Solution

The fourth proportional to 9,811.68, 14,703.18 and 4,548.30 is: 6,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.68 : 14,703.18 = 4,548.30 : x
  2. Step 2: Convert to fraction form
    9,811.68/14,703.18 = 4,548.30/x
  3. Step 3: Cross multiply
    9,811.68x = 14,703.18 × 4,548.30
  4. Step 4: Simplify right side
    9,811.68x = 66,874,473.59
  5. Step 5: Solve for x
    x = 66,874,473.59/9,811.68
  6. Step 6: Final answer
    x = 6,815.80

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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.