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Finding the Fourth Proportional to 9,402.64, 12,975.66 and 5,865.88

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Solution

The fourth proportional to 9,402.64, 12,975.66 and 5,865.88 is: 8,094.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.64 : 12,975.66 = 5,865.88 : x
  2. Step 2: Convert to fraction form
    9,402.64/12,975.66 = 5,865.88/x
  3. Step 3: Cross multiply
    9,402.64x = 12,975.66 × 5,865.88
  4. Step 4: Simplify right side
    9,402.64x = 76,113,664.48
  5. Step 5: Solve for x
    x = 76,113,664.48/9,402.64
  6. Step 6: Final answer
    x = 8,094.92

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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.