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Finding the Fourth Proportional to 6,543.12, 9,814.59 and 1,612.80

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Solution

The fourth proportional to 6,543.12, 9,814.59 and 1,612.80 is: 2,419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.12 : 9,814.59 = 1,612.80 : x
  2. Step 2: Convert to fraction form
    6,543.12/9,814.59 = 1,612.80/x
  3. Step 3: Cross multiply
    6,543.12x = 9,814.59 × 1,612.80
  4. Step 4: Simplify right side
    6,543.12x = 15,828,970.75
  5. Step 5: Solve for x
    x = 15,828,970.75/6,543.12
  6. Step 6: Final answer
    x = 2,419.18

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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.