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Finding the Fourth Proportional to 6,572.40, 9,852.12 and 5,094.96

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Solution

The fourth proportional to 6,572.40, 9,852.12 and 5,094.96 is: 7,637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.40 : 9,852.12 = 5,094.96 : x
  2. Step 2: Convert to fraction form
    6,572.40/9,852.12 = 5,094.96/x
  3. Step 3: Cross multiply
    6,572.40x = 9,852.12 × 5,094.96
  4. Step 4: Simplify right side
    6,572.40x = 50,196,157.32
  5. Step 5: Solve for x
    x = 50,196,157.32/6,572.40
  6. Step 6: Final answer
    x = 7,637.42

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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.