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Finding the Fourth Proportional to 9,783.80, 14,675.70 and 9,589.40

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Solution

The fourth proportional to 9,783.80, 14,675.70 and 9,589.40 is: 14,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.80 : 14,675.70 = 9,589.40 : x
  2. Step 2: Convert to fraction form
    9,783.80/14,675.70 = 9,589.40/x
  3. Step 3: Cross multiply
    9,783.80x = 14,675.70 × 9,589.40
  4. Step 4: Simplify right side
    9,783.80x = 140,731,157.58
  5. Step 5: Solve for x
    x = 140,731,157.58/9,783.80
  6. Step 6: Final answer
    x = 14,384.10

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Similar ratio
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1.5x scale

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.