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Finding the Fourth Proportional to 9,056.68, 12,504.29 and 5,658.84

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Solution

The fourth proportional to 9,056.68, 12,504.29 and 5,658.84 is: 7,812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056.68 : 12,504.29 = 5,658.84 : x
  2. Step 2: Convert to fraction form
    9,056.68/12,504.29 = 5,658.84/x
  3. Step 3: Cross multiply
    9,056.68x = 12,504.29 × 5,658.84
  4. Step 4: Simplify right side
    9,056.68x = 70,759,748.13
  5. Step 5: Solve for x
    x = 70,759,748.13/9,056.68
  6. Step 6: Final answer
    x = 7,812.99

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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.