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Finding the Fourth Proportional to 8,925.74, 12,323.12 and 5,740.46

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Solution

The fourth proportional to 8,925.74, 12,323.12 and 5,740.46 is: 7,925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,925.74 : 12,323.12 = 5,740.46 : x
  2. Step 2: Convert to fraction form
    8,925.74/12,323.12 = 5,740.46/x
  3. Step 3: Cross multiply
    8,925.74x = 12,323.12 × 5,740.46
  4. Step 4: Simplify right side
    8,925.74x = 70,740,287.12
  5. Step 5: Solve for x
    x = 70,740,287.12/8,925.74
  6. Step 6: Final answer
    x = 7,925.43

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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.