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Finding the Fourth Proportional to 9,705.56, 14,561.58 and 3,860.60

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Solution

The fourth proportional to 9,705.56, 14,561.58 and 3,860.60 is: 5,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.56 : 14,561.58 = 3,860.60 : x
  2. Step 2: Convert to fraction form
    9,705.56/14,561.58 = 3,860.60/x
  3. Step 3: Cross multiply
    9,705.56x = 14,561.58 × 3,860.60
  4. Step 4: Simplify right side
    9,705.56x = 56,216,435.75
  5. Step 5: Solve for x
    x = 56,216,435.75/9,705.56
  6. Step 6: Final answer
    x = 5,792.19

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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.