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Finding the Fourth Proportional to 7,090.20, 9,784.08 and 4,731.96

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Solution

The fourth proportional to 7,090.20, 9,784.08 and 4,731.96 is: 6,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.20 : 9,784.08 = 4,731.96 : x
  2. Step 2: Convert to fraction form
    7,090.20/9,784.08 = 4,731.96/x
  3. Step 3: Cross multiply
    7,090.20x = 9,784.08 × 4,731.96
  4. Step 4: Simplify right side
    7,090.20x = 46,297,875.20
  5. Step 5: Solve for x
    x = 46,297,875.20/7,090.20
  6. Step 6: Final answer
    x = 6,529.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.