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Finding the Fourth Proportional to 9,315.64, 12,855.32 and 5,123.89

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Solution

The fourth proportional to 9,315.64, 12,855.32 and 5,123.89 is: 7,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.64 : 12,855.32 = 5,123.89 : x
  2. Step 2: Convert to fraction form
    9,315.64/12,855.32 = 5,123.89/x
  3. Step 3: Cross multiply
    9,315.64x = 12,855.32 × 5,123.89
  4. Step 4: Simplify right side
    9,315.64x = 65,869,245.59
  5. Step 5: Solve for x
    x = 65,869,245.59/9,315.64
  6. Step 6: Final answer
    x = 7,070.82

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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.