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Finding the Fourth Proportional to 6,562.88, 9,853.80 and 4,348.40

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Solution

The fourth proportional to 6,562.88, 9,853.80 and 4,348.40 is: 6,528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.88 : 9,853.80 = 4,348.40 : x
  2. Step 2: Convert to fraction form
    6,562.88/9,853.80 = 4,348.40/x
  3. Step 3: Cross multiply
    6,562.88x = 9,853.80 × 4,348.40
  4. Step 4: Simplify right side
    6,562.88x = 42,848,263.92
  5. Step 5: Solve for x
    x = 42,848,263.92/6,562.88
  6. Step 6: Final answer
    x = 6,528.88

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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.