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Finding the Fourth Proportional to 9,840.96, 14,774.40 and 9,025.92

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Solution

The fourth proportional to 9,840.96, 14,774.40 and 9,025.92 is: 13,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.96 : 14,774.40 = 9,025.92 : x
  2. Step 2: Convert to fraction form
    9,840.96/14,774.40 = 9,025.92/x
  3. Step 3: Cross multiply
    9,840.96x = 14,774.40 × 9,025.92
  4. Step 4: Simplify right side
    9,840.96x = 133,352,552.45
  5. Step 5: Solve for x
    x = 133,352,552.45/9,840.96
  6. Step 6: Final answer
    x = 13,550.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.