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Finding the Fourth Proportional to 6,562.64, 9,852.60 and 6,019.28

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Solution

The fourth proportional to 6,562.64, 9,852.60 and 6,019.28 is: 9,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.64 : 9,852.60 = 6,019.28 : x
  2. Step 2: Convert to fraction form
    6,562.64/9,852.60 = 6,019.28/x
  3. Step 3: Cross multiply
    6,562.64x = 9,852.60 × 6,019.28
  4. Step 4: Simplify right side
    6,562.64x = 59,305,558.13
  5. Step 5: Solve for x
    x = 59,305,558.13/6,562.64
  6. Step 6: Final answer
    x = 9,036.84

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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.