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Finding the Fourth Proportional to 9,625.96, 14,430.84 and 4,693.06

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Solution

The fourth proportional to 9,625.96, 14,430.84 and 4,693.06 is: 7,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.96 : 14,430.84 = 4,693.06 : x
  2. Step 2: Convert to fraction form
    9,625.96/14,430.84 = 4,693.06/x
  3. Step 3: Cross multiply
    9,625.96x = 14,430.84 × 4,693.06
  4. Step 4: Simplify right side
    9,625.96x = 67,724,797.97
  5. Step 5: Solve for x
    x = 67,724,797.97/9,625.96
  6. Step 6: Final answer
    x = 7,035.64

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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.