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Finding the Fourth Proportional to 9,705.44, 14,559.60 and 3,548

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Solution

The fourth proportional to 9,705.44, 14,559.60 and 3,548 is: 5,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.44 : 14,559.60 = 3,548 : x
  2. Step 2: Convert to fraction form
    9,705.44/14,559.60 = 3,548/x
  3. Step 3: Cross multiply
    9,705.44x = 14,559.60 × 3,548
  4. Step 4: Simplify right side
    9,705.44x = 51,657,460.80
  5. Step 5: Solve for x
    x = 51,657,460.80/9,705.44
  6. Step 6: Final answer
    x = 5,322.53

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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.