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Finding the Fourth Proportional to 9,451.76, 13,043.86 and 5,260

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Solution

The fourth proportional to 9,451.76, 13,043.86 and 5,260 is: 7,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.76 : 13,043.86 = 5,260 : x
  2. Step 2: Convert to fraction form
    9,451.76/13,043.86 = 5,260/x
  3. Step 3: Cross multiply
    9,451.76x = 13,043.86 × 5,260
  4. Step 4: Simplify right side
    9,451.76x = 68,610,703.60
  5. Step 5: Solve for x
    x = 68,610,703.60/9,451.76
  6. Step 6: Final answer
    x = 7,259.04

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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.