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Finding the Fourth Proportional to 9,271.64, 12,796.08 and 5,291.84

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Solution

The fourth proportional to 9,271.64, 12,796.08 and 5,291.84 is: 7,303.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.64 : 12,796.08 = 5,291.84 : x
  2. Step 2: Convert to fraction form
    9,271.64/12,796.08 = 5,291.84/x
  3. Step 3: Cross multiply
    9,271.64x = 12,796.08 × 5,291.84
  4. Step 4: Simplify right side
    9,271.64x = 67,714,807.99
  5. Step 5: Solve for x
    x = 67,714,807.99/9,271.64
  6. Step 6: Final answer
    x = 7,303.43

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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.