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Finding the Fourth Proportional to 9,312.96, 12,854.32 and 5,774.16

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Solution

The fourth proportional to 9,312.96, 12,854.32 and 5,774.16 is: 7,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.96 : 12,854.32 = 5,774.16 : x
  2. Step 2: Convert to fraction form
    9,312.96/12,854.32 = 5,774.16/x
  3. Step 3: Cross multiply
    9,312.96x = 12,854.32 × 5,774.16
  4. Step 4: Simplify right side
    9,312.96x = 74,222,900.37
  5. Step 5: Solve for x
    x = 74,222,900.37/9,312.96
  6. Step 6: Final answer
    x = 7,969.85

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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.