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Finding the Fourth Proportional to 6,443.51, 9,656.62 and 5,303.03

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Solution

The fourth proportional to 6,443.51, 9,656.62 and 5,303.03 is: 7,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.51 : 9,656.62 = 5,303.03 : x
  2. Step 2: Convert to fraction form
    6,443.51/9,656.62 = 5,303.03/x
  3. Step 3: Cross multiply
    6,443.51x = 9,656.62 × 5,303.03
  4. Step 4: Simplify right side
    6,443.51x = 51,209,284.02
  5. Step 5: Solve for x
    x = 51,209,284.02/6,443.51
  6. Step 6: Final answer
    x = 7,947.43

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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.