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Finding the Fourth Proportional to 7,090.49, 9,784.72 and 4,439.36

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Solution

The fourth proportional to 7,090.49, 9,784.72 and 4,439.36 is: 6,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.49 : 9,784.72 = 4,439.36 : x
  2. Step 2: Convert to fraction form
    7,090.49/9,784.72 = 4,439.36/x
  3. Step 3: Cross multiply
    7,090.49x = 9,784.72 × 4,439.36
  4. Step 4: Simplify right side
    7,090.49x = 43,437,894.58
  5. Step 5: Solve for x
    x = 43,437,894.58/7,090.49
  6. Step 6: Final answer
    x = 6,126.22

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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.