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Finding the Fourth Proportional to 9,535.80, 14,308.58 and 4,543.80

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Solution

The fourth proportional to 9,535.80, 14,308.58 and 4,543.80 is: 6,818.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.80 : 14,308.58 = 4,543.80 : x
  2. Step 2: Convert to fraction form
    9,535.80/14,308.58 = 4,543.80/x
  3. Step 3: Cross multiply
    9,535.80x = 14,308.58 × 4,543.80
  4. Step 4: Simplify right side
    9,535.80x = 65,015,325.80
  5. Step 5: Solve for x
    x = 65,015,325.80/9,535.80
  6. Step 6: Final answer
    x = 6,818.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.