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Finding the Fourth Proportional to 9,281.96, 12,809.34 and 5,090.28

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Solution

The fourth proportional to 9,281.96, 12,809.34 and 5,090.28 is: 7,024.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.96 : 12,809.34 = 5,090.28 : x
  2. Step 2: Convert to fraction form
    9,281.96/12,809.34 = 5,090.28/x
  3. Step 3: Cross multiply
    9,281.96x = 12,809.34 × 5,090.28
  4. Step 4: Simplify right side
    9,281.96x = 65,203,127.22
  5. Step 5: Solve for x
    x = 65,203,127.22/9,281.96
  6. Step 6: Final answer
    x = 7,024.72

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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.