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Finding the Fourth Proportional to 6,444.10, 9,646.62 and 5,828.08

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Solution

The fourth proportional to 6,444.10, 9,646.62 and 5,828.08 is: 8,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.10 : 9,646.62 = 5,828.08 : x
  2. Step 2: Convert to fraction form
    6,444.10/9,646.62 = 5,828.08/x
  3. Step 3: Cross multiply
    6,444.10x = 9,646.62 × 5,828.08
  4. Step 4: Simplify right side
    6,444.10x = 56,221,273.09
  5. Step 5: Solve for x
    x = 56,221,273.09/6,444.10
  6. Step 6: Final answer
    x = 8,724.46

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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.