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Finding the Fourth Proportional to 7,090.64, 9,785.80 and 4,296.40

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Solution

The fourth proportional to 7,090.64, 9,785.80 and 4,296.40 is: 5,929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.64 : 9,785.80 = 4,296.40 : x
  2. Step 2: Convert to fraction form
    7,090.64/9,785.80 = 4,296.40/x
  3. Step 3: Cross multiply
    7,090.64x = 9,785.80 × 4,296.40
  4. Step 4: Simplify right side
    7,090.64x = 42,043,711.12
  5. Step 5: Solve for x
    x = 42,043,711.12/7,090.64
  6. Step 6: Final answer
    x = 5,929.47

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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.