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Finding the Fourth Proportional to 9,312.88, 12,847.44 and 5,774.80

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Solution

The fourth proportional to 9,312.88, 12,847.44 and 5,774.80 is: 7,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.88 : 12,847.44 = 5,774.80 : x
  2. Step 2: Convert to fraction form
    9,312.88/12,847.44 = 5,774.80/x
  3. Step 3: Cross multiply
    9,312.88x = 12,847.44 × 5,774.80
  4. Step 4: Simplify right side
    9,312.88x = 74,191,396.51
  5. Step 5: Solve for x
    x = 74,191,396.51/9,312.88
  6. Step 6: Final answer
    x = 7,966.54

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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.