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Finding the Fourth Proportional to 9,271.96, 12,795.32 and 5,023.07

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Solution

The fourth proportional to 9,271.96, 12,795.32 and 5,023.07 is: 6,931.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.96 : 12,795.32 = 5,023.07 : x
  2. Step 2: Convert to fraction form
    9,271.96/12,795.32 = 5,023.07/x
  3. Step 3: Cross multiply
    9,271.96x = 12,795.32 × 5,023.07
  4. Step 4: Simplify right side
    9,271.96x = 64,271,788.03
  5. Step 5: Solve for x
    x = 64,271,788.03/9,271.96
  6. Step 6: Final answer
    x = 6,931.84

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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.